Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976bf |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
13437149709312 = 210 · 38 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21315,-1184722] |
[a1,a2,a3,a4,a6] |
j |
12194500/153 |
j-invariant |
L |
0.79083845662371 |
L(r)(E,1)/r! |
Ω |
0.39541922866171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952s1 19992f1 1224h1 |
Quadratic twists by: -4 -3 -7 |