Atkin-Lehner |
2+ 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
80712b |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
165032149248 = 28 · 33 · 193 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 0 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7095,229194] |
[a1,a2,a3,a4,a6] |
Generators |
[3:456:1] |
Generators of the group modulo torsion |
j |
5714486118000/23876179 |
j-invariant |
L |
6.5691902587221 |
L(r)(E,1)/r! |
Ω |
1.0254150207995 |
Real period |
R |
1.0677286959348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80712j1 |
Quadratic twists by: -3 |