Atkin-Lehner |
2+ 3- 7+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
86814o |
Isogeny class |
Conductor |
86814 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
2300537374507008 = 224 · 37 · 7 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-47556,3268944] |
[a1,a2,a3,a4,a6] |
Generators |
[44805:686676:125] |
Generators of the group modulo torsion |
j |
16316134467587137/3155743997952 |
j-invariant |
L |
5.9642984804697 |
L(r)(E,1)/r! |
Ω |
0.43723679808455 |
Real period |
R |
6.8204443311152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979348 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28938s1 |
Quadratic twists by: -3 |