Atkin-Lehner |
2+ 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
124656u |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
293190912 = 28 · 32 · 74 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 3 3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604,-5860] |
[a1,a2,a3,a4,a6] |
j |
39711952/477 |
j-invariant |
L |
3.8543903603445 |
L(r)(E,1)/r! |
Ω |
0.96359783661327 |
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 |
62328y1 124656i1 |
Quadratic twists by: -4 -7 |