Atkin-Lehner |
2+ 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
42952b |
Isogeny class |
Conductor |
42952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
14517776 = 24 · 7 · 133 · 59 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ -5 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-736,-7443] |
[a1,a2,a3,a4,a6] |
j |
2759479124224/907361 |
j-invariant |
L |
1.8330297138358 |
L(r)(E,1)/r! |
Ω |
0.91651485688495 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85904h1 |
Quadratic twists by: -4 |