Atkin-Lehner |
2+ 3- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
54168a |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
5200128 = 28 · 32 · 37 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-748,-8128] |
[a1,a2,a3,a4,a6] |
j |
181037698000/20313 |
j-invariant |
L |
3.6512258477852 |
L(r)(E,1)/r! |
Ω |
0.91280646216011 |
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 |
108336a1 |
Quadratic twists by: -4 |