Atkin-Lehner |
2- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57664bc |
Isogeny class |
Conductor |
57664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
757760 |
Modular degree for the optimal curve |
Δ |
1045529444483072 = 218 · 175 · 532 |
Discriminant |
Eigenvalues |
2- 2 0 4 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1894273,-1002855135] |
[a1,a2,a3,a4,a6] |
Generators |
[-1140224807098190079169446417:23652250261395256135676112:1434398896661001527176361] |
Generators of the group modulo torsion |
j |
2867554803676902625/3988378313 |
j-invariant |
L |
10.411724748747 |
L(r)(E,1)/r! |
Ω |
0.12868826021901 |
Real period |
R |
40.453281173491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57664h1 14416d1 |
Quadratic twists by: -4 8 |