Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95506j |
Isogeny class |
Conductor |
95506 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
43400448 |
Modular degree for the optimal curve |
Δ |
8.2109536300381E+25 |
Discriminant |
Eigenvalues |
2- -2 2 -2 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-792282722,-8572565900732] |
[a1,a2,a3,a4,a6] |
Generators |
[79899116:16805780746:1331] |
Generators of the group modulo torsion |
j |
2481470116651671429817/3704574917476352 |
j-invariant |
L |
8.9351900233866 |
L(r)(E,1)/r! |
Ω |
0.028458922082626 |
Real period |
R |
3.7377139505101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999734428 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1802b1 |
Quadratic twists by: 53 |