Atkin-Lehner |
2+ 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608g |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
-16885127168 = -1 · 211 · 73 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ -3 -2 7- -3 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6691,210754] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:602:1] [-11:532:1] |
Generators of the group modulo torsion |
j |
-16175840258034/8244691 |
j-invariant |
L |
5.413047168384 |
L(r)(E,1)/r! |
Ω |
1.2172988461049 |
Real period |
R |
0.18528205521355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31304d1 |
Quadratic twists by: -4 |