Atkin-Lehner |
2+ 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562b |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4487616 |
Modular degree for the optimal curve |
Δ |
7.7364620490651E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 1 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-25150908,46674291024] |
[a1,a2,a3,a4,a6] |
Generators |
[41160:2921564:27] |
Generators of the group modulo torsion |
j |
372616659/16384 |
j-invariant |
L |
3.4278901798193 |
L(r)(E,1)/r! |
Ω |
0.10756916553643 |
Real period |
R |
7.966711842477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998875 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562u1 50562x1 |
Quadratic twists by: -3 53 |