Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360br |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9212636160 = -1 · 210 · 32 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,195,-4563] |
[a1,a2,a3,a4,a6] |
j |
796706816/8996715 |
j-invariant |
L |
2.5543420499023 |
L(r)(E,1)/r! |
Ω |
0.63858553355703 |
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 |
87360ha1 10920h1 |
Quadratic twists by: -4 8 |