Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592ds |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
124346880 |
Modular degree for the optimal curve |
Δ |
-2.2409046575007E+25 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11- -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8531256929,-303299601864897] |
[a1,a2,a3,a4,a6] |
Generators |
[17032104475154034573:699020877235837008072:158577610946383] |
Generators of the group modulo torsion |
j |
-2095621481338254474948730742984/683869829559544472163 |
j-invariant |
L |
12.19760021242 |
L(r)(E,1)/r! |
Ω |
0.0078544593274345 |
Real period |
R |
21.56878112153 |
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 |
86592cc1 43296g1 |
Quadratic twists by: -4 8 |