Atkin-Lehner |
2+ 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19320b |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
5436014062500000000 = 28 · 32 · 514 · 75 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1055516,402388980] |
[a1,a2,a3,a4,a6] |
j |
508017439289666674384/21234429931640625 |
j-invariant |
L |
0.4777474503674 |
L(r)(E,1)/r! |
Ω |
0.2388737251837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640t1 57960bs1 96600cd1 |
Quadratic twists by: -4 -3 5 |