Atkin-Lehner |
3- 5- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
77265g |
Isogeny class |
Conductor |
77265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
226087048125 = 36 · 54 · 173 · 101 |
Discriminant |
Eigenvalues |
2 3- 5- -3 5 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2817,52805] |
[a1,a2,a3,a4,a6] |
j |
3391225933824/310133125 |
j-invariant |
L |
3.872064639455 |
L(r)(E,1)/r! |
Ω |
0.96801616002732 |
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 |
8585b1 |
Quadratic twists by: -3 |