Atkin-Lehner |
2+ 3- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
81090j |
Isogeny class |
Conductor |
81090 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
126976 |
Modular degree for the optimal curve |
Δ |
31330743300 = 22 · 38 · 52 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -6 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1035,9841] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:146:1] |
Generators of the group modulo torsion |
j |
168288035761/42977700 |
j-invariant |
L |
4.838283297873 |
L(r)(E,1)/r! |
Ω |
1.0974494818507 |
Real period |
R |
1.1021653788446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004476 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27030n1 |
Quadratic twists by: -3 |