Atkin-Lehner |
2+ 3- 7- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038s |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
277312486662288 = 24 · 318 · 72 · 11 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17136,-317520] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:140:1] |
Generators of the group modulo torsion |
j |
763376524275457/380401216272 |
j-invariant |
L |
7.2953513839589 |
L(r)(E,1)/r! |
Ω |
0.43936013826272 |
Real period |
R |
4.1511226873002 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044697 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346r1 |
Quadratic twists by: -3 |