Atkin-Lehner |
2- 3- 5+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760u |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-49886718750000 = -1 · 24 · 33 · 512 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-951,-340326] |
[a1,a2,a3,a4,a6] |
j |
-5951163357184/3117919921875 |
j-invariant |
L |
3.4188686574059 |
L(r)(E,1)/r! |
Ω |
0.2849057214684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520c1 |
Quadratic twists by: -4 |