Atkin-Lehner |
2+ 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
57200c |
Isogeny class |
Conductor |
57200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
77322781250000 = 24 · 59 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177050,-28671125] |
[a1,a2,a3,a4,a6] |
j |
2455113061103616/309291125 |
j-invariant |
L |
0.9309767730069 |
L(r)(E,1)/r! |
Ω |
0.23274419342238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28600q1 11440e1 |
Quadratic twists by: -4 5 |