Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
97284o |
Isogeny class |
Conductor |
97284 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-2680302291118848 = -1 · 28 · 36 · 118 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17747,-2312785] |
[a1,a2,a3,a4,a6] |
Generators |
[1130:38235:1] |
Generators of the group modulo torsion |
j |
11264000/48843 |
j-invariant |
L |
8.5351175696556 |
L(r)(E,1)/r! |
Ω |
0.22993264223209 |
Real period |
R |
6.1866796193828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024003 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97284p1 |
Quadratic twists by: -11 |