Atkin-Lehner |
2- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600r |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-28217200 = -1 · 24 · 52 · 113 · 53 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,253] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:11:1] |
Generators of the group modulo torsion |
j |
-160000/70543 |
j-invariant |
L |
4.7292706565264 |
L(r)(E,1)/r! |
Ω |
1.7052222475649 |
Real period |
R |
0.46223404879668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999048178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116600m1 |
Quadratic twists by: 5 |