Atkin-Lehner |
2- 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654u |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2503247070895172 = 22 · 710 · 17 · 194 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -2 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53460,4099276] |
[a1,a2,a3,a4,a6] |
j |
143622619359409/21277249028 |
j-invariant |
L |
0.87759026649536 |
L(r)(E,1)/r! |
Ω |
0.43879513325057 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4522h1 |
Quadratic twists by: -7 |