Atkin-Lehner |
2- 3+ 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bx |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
15095808 |
Modular degree for the optimal curve |
Δ |
-6.7198111557483E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5190434,11614015259] |
[a1,a2,a3,a4,a6] |
Generators |
[17137:2257191:1] |
Generators of the group modulo torsion |
j |
640680045567719039/2783963520000000 |
j-invariant |
L |
9.7534888941569 |
L(r)(E,1)/r! |
Ω |
0.078678032017784 |
Real period |
R |
4.7679660608484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630y1 |
Quadratic twists by: 17 |