Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17980d |
Isogeny class |
Conductor |
17980 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
62134492880 = 24 · 5 · 292 · 314 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1081,-6234] |
[a1,a2,a3,a4,a6] |
Generators |
[-59982:102660:2197] |
Generators of the group modulo torsion |
j |
8739417800704/3883405805 |
j-invariant |
L |
6.1467808075382 |
L(r)(E,1)/r! |
Ω |
0.86757420382402 |
Real period |
R |
7.0850202558409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71920o1 89900f1 |
Quadratic twists by: -4 5 |