Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400gf |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
887040000000 = 214 · 32 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,-4812] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:150:1] |
Generators of the group modulo torsion |
j |
24137569/13860 |
j-invariant |
L |
7.5221095749056 |
L(r)(E,1)/r! |
Ω |
0.74026675213018 |
Real period |
R |
1.2701687503405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014797 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550l1 18480bw1 |
Quadratic twists by: -4 5 |