Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888u |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248693760 |
Modular degree for the optimal curve |
Δ |
-2.5525304614344E+26 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 11+ 5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19195328091,-1023626558629982] |
[a1,a2,a3,a4,a6] |
Generators |
[283747205419934294345009480939195525289443533307360399075489671933242594871287559047334507992580467178425184908634654011155325308163125023473243565923398262024702307609081353566464957302896451825521267586634:57934270792149417940652991712291051280608926114317039277228654802044422672463147491892219446265043737541286753409938534441203907410892130797389498546035497219314673154898362996424473493308637626675114505236924:1576725682850759578149063496201798012020200683781195646542081010095445968762713831468201941288541327777223885144262002190627304993230546436614008665955101495801718243381485196619352974239059412686437947] |
Generators of the group modulo torsion |
j |
-2095621481338254474948730742984/683869829559544472163 |
j-invariant |
L |
7.93764667551 |
L(r)(E,1)/r! |
Ω |
0.0064131391858861 |
Real period |
R |
309.42906607185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888bi1 43296t1 |
Quadratic twists by: -4 -3 |