Atkin-Lehner |
2- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4730g |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4704 |
Modular degree for the optimal curve |
Δ |
-75213622000 = -1 · 24 · 53 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2437,48749] |
[a1,a2,a3,a4,a6] |
j |
-1600011920811681/75213622000 |
j-invariant |
L |
3.2352998079276 |
L(r)(E,1)/r! |
Ω |
1.0784332693092 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37840ba1 42570j1 23650a1 52030i1 |
Quadratic twists by: -4 -3 5 -11 |