Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312cg |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
131074162688 = 216 · 76 · 17 |
Discriminant |
Eigenvalues |
2- -2 0 7- 2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1633,-19041] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:64:1] [-15:48:1] |
Generators of the group modulo torsion |
j |
62500/17 |
j-invariant |
L |
6.9582156572204 |
L(r)(E,1)/r! |
Ω |
0.76630791636695 |
Real period |
R |
4.5400912013336 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53312x1 13328e1 1088g1 |
Quadratic twists by: -4 8 -7 |