Atkin-Lehner |
2+ 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62814h |
Isogeny class |
Conductor |
62814 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
40703472 = 24 · 35 · 192 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 -2 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3941,94880] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-206:1] [-42:2735:8] |
Generators of the group modulo torsion |
j |
18744652518625/112752 |
j-invariant |
L |
8.5922508354448 |
L(r)(E,1)/r! |
Ω |
1.8153427250248 |
Real period |
R |
0.47331287458914 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62814j1 |
Quadratic twists by: -19 |