Atkin-Lehner |
2+ 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30160l |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
301600000 = 28 · 55 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3 5- 1 4 13- -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,236] |
[a1,a2,a3,a4,a6] |
j |
2198209536/1178125 |
j-invariant |
L |
7.5457473971688 |
L(r)(E,1)/r! |
Ω |
1.5091494794338 |
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 |
15080f1 120640by1 |
Quadratic twists by: -4 8 |