Atkin-Lehner |
2- 5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
73810j |
Isogeny class |
Conductor |
73810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
221160878037550 = 2 · 52 · 117 · 613 |
Discriminant |
Eigenvalues |
2- 1 5+ -2 11- 7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24021,-1243549] |
[a1,a2,a3,a4,a6] |
Generators |
[-4076:12933:64] |
Generators of the group modulo torsion |
j |
865250742889/124839550 |
j-invariant |
L |
10.376243749575 |
L(r)(E,1)/r! |
Ω |
0.38717848103381 |
Real period |
R |
6.6999098977601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000446 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6710d1 |
Quadratic twists by: -11 |