Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487c |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
4465285832709 = 39 · 136 · 47 |
Discriminant |
Eigenvalues |
-2 3+ -3 -1 3 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13689,-608020] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:84:1] |
Generators of the group modulo torsion |
j |
2985984/47 |
j-invariant |
L |
2.4089068639444 |
L(r)(E,1)/r! |
Ω |
0.44179513153155 |
Real period |
R |
1.3631357010597 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71487f1 423d1 |
Quadratic twists by: -3 13 |