Atkin-Lehner |
2+ 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
118080cr |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2621440 |
Modular degree for the optimal curve |
Δ |
5020204262400000000 = 216 · 314 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3168012,2167663984] |
[a1,a2,a3,a4,a6] |
j |
73599812355168004/105078515625 |
j-invariant |
L |
3.8785825967675 |
L(r)(E,1)/r! |
Ω |
0.24241141673996 |
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 |
118080gg1 14760t1 39360z1 |
Quadratic twists by: -4 8 -3 |