Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558cn |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
294 |
Product of Tamagawa factors cp |
deg |
8692992 |
Modular degree for the optimal curve |
Δ |
-2.2024633844508E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 11- 3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3833585,2974384271] |
[a1,a2,a3,a4,a6] |
Generators |
[-313:64528:1] |
Generators of the group modulo torsion |
j |
-29066820532499761/1027465423488 |
j-invariant |
L |
7.1095204289364 |
L(r)(E,1)/r! |
Ω |
0.17609242903169 |
Real period |
R |
0.13732584918451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683876 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96558j1 |
Quadratic twists by: -11 |