Atkin-Lehner |
2+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
110110l |
Isogeny class |
Conductor |
110110 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-116829789556480 = -1 · 28 · 5 · 74 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7164,569402] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-621:1] [-47:919:1] |
Generators of the group modulo torsion |
j |
-30543952906979/87775950080 |
j-invariant |
L |
5.6570938409831 |
L(r)(E,1)/r! |
Ω |
0.52014086108337 |
Real period |
R |
1.3595100532829 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110110bn1 |
Quadratic twists by: -11 |