Atkin-Lehner |
5+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
92365c |
Isogeny class |
Conductor |
92365 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
926876606932264625 = 53 · 714 · 13 · 292 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 0 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1434313,-659188008] |
[a1,a2,a3,a4,a6] |
Generators |
[2358422:-65843018:1331] |
Generators of the group modulo torsion |
j |
2773747937160483921/7878321166625 |
j-invariant |
L |
3.0137848761518 |
L(r)(E,1)/r! |
Ω |
0.13797891962812 |
Real period |
R |
10.921178705909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195j1 |
Quadratic twists by: -7 |