Atkin-Lehner |
2- 3- 7+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
62118bm |
Isogeny class |
Conductor |
62118 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
deg |
6881280 |
Modular degree for the optimal curve |
Δ |
-5.4625382088839E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-56780546,165080164097] |
[a1,a2,a3,a4,a6] |
Generators |
[-1767:510679:1] |
Generators of the group modulo torsion |
j |
-27771214300424261031523033/74931937021727342592 |
j-invariant |
L |
6.825213740621 |
L(r)(E,1)/r! |
Ω |
0.11224183535233 |
Real period |
R |
0.95012670063682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20706h1 |
Quadratic twists by: -3 |