Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886l |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
8.2669651446298E+25 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-521544367,4563463980590] |
[a1,a2,a3,a4,a6] |
Generators |
[120494:2768209:8] |
Generators of the group modulo torsion |
j |
8856076866003496152467137/46664863048067576004 |
j-invariant |
L |
4.7546306088535 |
L(r)(E,1)/r! |
Ω |
0.061108245146087 |
Real period |
R |
9.7258368990451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010583 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10626r3 |
Quadratic twists by: -11 |