Atkin-Lehner |
2+ 5+ 31+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
94550d |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
219520 |
Modular degree for the optimal curve |
Δ |
-15006976000000 = -1 · 214 · 56 · 312 · 61 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 3 -1 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3725,166125] |
[a1,a2,a3,a4,a6] |
j |
365679263951/960446464 |
j-invariant |
L |
1.9630923295989 |
L(r)(E,1)/r! |
Ω |
0.49077313972625 |
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 |
3782c1 |
Quadratic twists by: 5 |