Atkin-Lehner |
2+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654b |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-943035968 = -1 · 26 · 74 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ -3 -1 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-466,3956] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-66:1] [-4:78:1] |
Generators of the group modulo torsion |
j |
-4676755657/392768 |
j-invariant |
L |
4.5592426793648 |
L(r)(E,1)/r! |
Ω |
1.5367045215381 |
Real period |
R |
0.24724134316121 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31654f1 |
Quadratic twists by: -7 |