Atkin-Lehner |
2- 11+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
85514k |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
352800 |
Modular degree for the optimal curve |
Δ |
572138738366624 = 25 · 115 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 0 1 -1 11+ 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158047,24196007] |
[a1,a2,a3,a4,a6] |
Generators |
[215:238:1] |
Generators of the group modulo torsion |
j |
90452336967369/118533536 |
j-invariant |
L |
9.9596974837092 |
L(r)(E,1)/r! |
Ω |
0.51619007355921 |
Real period |
R |
3.8589263877277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
506d1 |
Quadratic twists by: 13 |