Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600ff |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-555393024000000 = -1 · 219 · 37 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 7 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59475,-5696750] |
[a1,a2,a3,a4,a6] |
j |
-498677257/11904 |
j-invariant |
L |
2.4422671360038 |
L(r)(E,1)/r! |
Ω |
0.15264167074823 |
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 |
13950p1 37200df1 4464z1 |
Quadratic twists by: -4 -3 5 |