Atkin-Lehner |
2+ 3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
62496n |
Isogeny class |
Conductor |
62496 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
177955735104 = 26 · 310 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11721,488000] |
[a1,a2,a3,a4,a6] |
Generators |
[37:324:1] |
Generators of the group modulo torsion |
j |
3816894953152/3814209 |
j-invariant |
L |
3.0010635268444 |
L(r)(E,1)/r! |
Ω |
1.0089514232364 |
Real period |
R |
1.4872190363818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62496q1 124992ey2 20832x1 |
Quadratic twists by: -4 8 -3 |