Atkin-Lehner |
2- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28600q |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
101376 |
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 |
2.353978903308 |
L(r)(E,1)/r! |
Ω |
0.58849472582721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57200c1 5720c1 |
Quadratic twists by: -4 5 |