Atkin-Lehner |
2+ 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50562t |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
194688 |
Modular degree for the optimal curve |
Δ |
-4272444454878 = -1 · 2 · 315 · 533 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 5 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18414,971514] |
[a1,a2,a3,a4,a6] |
Generators |
[93:192:1] |
Generators of the group modulo torsion |
j |
-6362477477/39366 |
j-invariant |
L |
3.3375212049074 |
L(r)(E,1)/r! |
Ω |
0.78228631319704 |
Real period |
R |
1.066591971686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16854u1 50562bm1 |
Quadratic twists by: -3 53 |