Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2888a |
Isogeny class |
Conductor |
2888 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9576 |
Modular degree for the optimal curve |
Δ |
271737008656 = 24 · 198 |
Discriminant |
Eigenvalues |
2+ 1 3 0 -4 -5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153184,23025409] |
[a1,a2,a3,a4,a6] |
Generators |
[120:2527:1] |
Generators of the group modulo torsion |
j |
1462911232 |
j-invariant |
L |
4.1891095176869 |
L(r)(E,1)/r! |
Ω |
0.8105402626702 |
Real period |
R |
0.86138215677828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5776a1 23104d1 25992y1 72200w1 |
Quadratic twists by: -4 8 -3 5 |