Atkin-Lehner |
5+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
65975j |
Isogeny class |
Conductor |
65975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
4923950729140625 = 57 · 78 · 13 · 292 |
Discriminant |
Eigenvalues |
1 2 5+ 7- 2 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-580275,169862000] |
[a1,a2,a3,a4,a6] |
Generators |
[380:1910:1] |
Generators of the group modulo torsion |
j |
1382949865068368689/315132846665 |
j-invariant |
L |
11.262921130456 |
L(r)(E,1)/r! |
Ω |
0.42106317173722 |
Real period |
R |
1.6717980054067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13195b1 |
Quadratic twists by: 5 |