Atkin-Lehner |
2+ 3+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
63426g |
Isogeny class |
Conductor |
63426 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
122400 |
Modular degree for the optimal curve |
Δ |
-179771609952 = -1 · 25 · 312 · 11 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -2 11- 3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,957,17325] |
[a1,a2,a3,a4,a6] |
Generators |
[1275:44925:1] |
Generators of the group modulo torsion |
j |
100699396871/187067232 |
j-invariant |
L |
5.3941439423649 |
L(r)(E,1)/r! |
Ω |
0.69702614204712 |
Real period |
R |
3.8693985897909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63426i1 |
Quadratic twists by: -31 |