Atkin-Lehner |
3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
124425p |
Isogeny class |
Conductor |
124425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
944640 |
Modular degree for the optimal curve |
Δ |
82674580078125 = 37 · 510 · 72 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-630117,192678916] |
[a1,a2,a3,a4,a6] |
j |
3886512940825/11613 |
j-invariant |
L |
2.1174598243417 |
L(r)(E,1)/r! |
Ω |
0.52936458278655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41475f1 124425y1 |
Quadratic twists by: -3 5 |