Atkin-Lehner |
2- 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
53960f |
Isogeny class |
Conductor |
53960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17664 |
Modular degree for the optimal curve |
Δ |
539600 = 24 · 52 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 4 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-451,-3540] |
[a1,a2,a3,a4,a6] |
j |
635471325184/33725 |
j-invariant |
L |
4.1432064721498 |
L(r)(E,1)/r! |
Ω |
1.0358016183262 |
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 |
107920b1 |
Quadratic twists by: -4 |