Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4830bd |
Isogeny class |
Conductor |
4830 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
579600 = 24 · 32 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-756,-8064] |
[a1,a2,a3,a4,a6] |
j |
47788676405569/579600 |
j-invariant |
L |
3.6418866207923 |
L(r)(E,1)/r! |
Ω |
0.91047165519806 |
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 |
38640bj1 14490bc1 24150f1 33810cj1 |
Quadratic twists by: -4 -3 5 -7 |