Atkin-Lehner |
2- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63308n |
Isogeny class |
Conductor |
63308 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
68097123584 = 28 · 77 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 0 -3 7- -6 -5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155624,23629956] |
[a1,a2,a3,a4,a6] |
Generators |
[224:-98:1] |
Generators of the group modulo torsion |
j |
13839653855232/2261 |
j-invariant |
L |
1.9609511278881 |
L(r)(E,1)/r! |
Ω |
0.86210078658309 |
Real period |
R |
0.37910322436418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001861 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9044b1 |
Quadratic twists by: -7 |