Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bw |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
765536384487260160 = 226 · 316 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1493787,701456074] |
[a1,a2,a3,a4,a6] |
j |
123453174678896089/256376586240 |
j-invariant |
L |
1.1375616520322 |
L(r)(E,1)/r! |
Ω |
0.28439041301531 |
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 |
4770bb1 12720bc1 |
Quadratic twists by: -4 -3 |