Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976r |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
19591364276176896 = 211 · 314 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-331779,-73247650] |
[a1,a2,a3,a4,a6] |
j |
22994537186/111537 |
j-invariant |
L |
1.5918571852624 |
L(r)(E,1)/r! |
Ω |
0.19898214862229 |
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 |
119952bj4 19992v3 1224c3 |
Quadratic twists by: -4 -3 -7 |