Atkin-Lehner |
5+ 11+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
88825f |
Isogeny class |
Conductor |
88825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
11602765625 = 56 · 112 · 17 · 192 |
Discriminant |
Eigenvalues |
-1 -2 5+ -4 11+ 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-913,9192] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:144:1] [-13:144:1] |
Generators of the group modulo torsion |
j |
5386984777/742577 |
j-invariant |
L |
4.3197766096589 |
L(r)(E,1)/r! |
Ω |
1.2242508941575 |
Real period |
R |
1.7642529932745 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3553b1 |
Quadratic twists by: 5 |