Atkin-Lehner |
2+ 5+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56240a |
Isogeny class |
Conductor |
56240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
292864 |
Modular degree for the optimal curve |
Δ |
30860012800 = 28 · 52 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 3 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-892001,-323964899] |
[a1,a2,a3,a4,a6] |
j |
306605723325447169024/120546925 |
j-invariant |
L |
0.6213955944204 |
L(r)(E,1)/r! |
Ω |
0.15534889870082 |
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 |
28120a1 |
Quadratic twists by: -4 |