Atkin-Lehner |
2- 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
37224n |
Isogeny class |
Conductor |
37224 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-385938432 = -1 · 210 · 36 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 11+ -7 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,117,-810] |
[a1,a2,a3,a4,a6] |
j |
237276/517 |
j-invariant |
L |
3.5118628427758 |
L(r)(E,1)/r! |
Ω |
0.8779657107056 |
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 |
74448n1 4136a1 |
Quadratic twists by: -4 -3 |