Atkin-Lehner |
2+ 3- 5+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
127920p |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
260 |
Product of Tamagawa factors cp |
deg |
125349120 |
Modular degree for the optimal curve |
Δ |
-1.2486545122012E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -2 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11829935456,-495251033115756] |
[a1,a2,a3,a4,a6] |
Generators |
[328012:175829238:1] |
Generators of the group modulo torsion |
j |
-89400692989929118668843053082818/60969458603574193359375 |
j-invariant |
L |
7.3559920792466 |
L(r)(E,1)/r! |
Ω |
0.0072380894756708 |
Real period |
R |
3.9088045483964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63960i1 |
Quadratic twists by: -4 |