Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bb |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
7998480000000 = 210 · 33 · 57 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9408,320688] |
[a1,a2,a3,a4,a6] |
j |
5756278756/499905 |
j-invariant |
L |
4.3208961014987 |
L(r)(E,1)/r! |
Ω |
0.72014936467565 |
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 |
19320q1 |
Quadratic twists by: 5 |