Atkin-Lehner |
2+ 3- 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
51282k |
Isogeny class |
Conductor |
51282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
622592 |
Modular degree for the optimal curve |
Δ |
-22444311681973566 = -1 · 2 · 314 · 78 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- 0 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55629,5129163] |
[a1,a2,a3,a4,a6] |
j |
26115332008714703/30787807519854 |
j-invariant |
L |
1.0179174571069 |
L(r)(E,1)/r! |
Ω |
0.25447936440465 |
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 |
17094v1 |
Quadratic twists by: -3 |