Atkin-Lehner |
2- 5- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7790h |
Isogeny class |
Conductor |
7790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
2368160000 = 28 · 54 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-442,2809] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:31:1] |
Generators of the group modulo torsion |
j |
9529476383601/2368160000 |
j-invariant |
L |
5.6942132463334 |
L(r)(E,1)/r! |
Ω |
1.3629406621467 |
Real period |
R |
1.0444719650093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62320y1 70110r1 38950i1 |
Quadratic twists by: -4 -3 5 |