Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330bw |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2350080 |
Modular degree for the optimal curve |
Δ |
-7522537064261506560 = -1 · 29 · 323 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 13+ 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7646949,-8138333547] |
[a1,a2,a3,a4,a6] |
Generators |
[1216438177751481289408786946291458101:13241388454309394811902162584933816155:374090802183233996645623862182069] |
Generators of the group modulo torsion |
j |
-28253264609835195889/4297784624640 |
j-invariant |
L |
5.2101819059431 |
L(r)(E,1)/r! |
Ω |
0.045393486915703 |
Real period |
R |
57.389091034343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19110cj1 57330bm1 |
Quadratic twists by: -3 -7 |