Atkin-Lehner |
3- 5- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
54315i |
Isogeny class |
Conductor |
54315 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-60271296636967875 = -1 · 314 · 53 · 175 · 71 |
Discriminant |
Eigenvalues |
2 3- 5- -2 -1 7 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-60177,13107285] |
[a1,a2,a3,a4,a6] |
j |
-33058853131792384/82676675770875 |
j-invariant |
L |
3.724341668774 |
L(r)(E,1)/r! |
Ω |
0.31036180577058 |
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 |
18105f1 |
Quadratic twists by: -3 |