Atkin-Lehner |
2- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58432p |
Isogeny class |
Conductor |
58432 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-48707103808 = -1 · 26 · 113 · 833 |
Discriminant |
Eigenvalues |
2- 0 -4 3 11- 3 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13487,602960] |
[a1,a2,a3,a4,a6] |
Generators |
[64:44:1] |
Generators of the group modulo torsion |
j |
-4239257631499584/761048497 |
j-invariant |
L |
4.9802443272492 |
L(r)(E,1)/r! |
Ω |
1.0952015285221 |
Real period |
R |
1.5157771416561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998538 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58432k1 29216c1 |
Quadratic twists by: -4 8 |