Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63916d |
Isogeny class |
Conductor |
63916 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13500 |
Modular degree for the optimal curve |
Δ |
-92294704 = -1 · 24 · 193 · 292 |
Discriminant |
Eigenvalues |
2- 0 3 1 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-116,-667] |
[a1,a2,a3,a4,a6] |
Generators |
[407:8208:1] |
Generators of the group modulo torsion |
j |
-12828672/6859 |
j-invariant |
L |
8.6471732802006 |
L(r)(E,1)/r! |
Ω |
0.70960908577831 |
Real period |
R |
4.0619422034221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998109 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63916a1 |
Quadratic twists by: 29 |