Atkin-Lehner |
2- 19- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7828c |
Isogeny class |
Conductor |
7828 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
5520 |
Modular degree for the optimal curve |
Δ |
4080611152 = 24 · 195 · 103 |
Discriminant |
Eigenvalues |
2- -1 0 -1 -6 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3573,83350] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:361:1] [25:95:1] |
Generators of the group modulo torsion |
j |
315372863488000/255038197 |
j-invariant |
L |
4.5596299183944 |
L(r)(E,1)/r! |
Ω |
1.3786211972927 |
Real period |
R |
0.22049227771188 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31312j1 125248g1 70452j1 |
Quadratic twists by: -4 8 -3 |