Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800io |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
30265205250000 = 24 · 3 · 56 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11433,-392862] |
[a1,a2,a3,a4,a6] |
j |
16384/3 |
j-invariant |
L |
0.93504586061631 |
L(r)(E,1)/r! |
Ω |
0.46752293004802 |
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 |
14700f1 2352n1 58800fs1 |
Quadratic twists by: -4 5 -7 |