Atkin-Lehner |
2- 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118096z |
Isogeny class |
Conductor |
118096 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32832 |
Modular degree for the optimal curve |
Δ |
30232576 = 212 · 112 · 61 |
Discriminant |
Eigenvalues |
2- -1 3 2 11- 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,4061] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:71:1] |
Generators of the group modulo torsion |
j |
23068672/61 |
j-invariant |
L |
7.4092460603608 |
L(r)(E,1)/r! |
Ω |
2.0966309309157 |
Real period |
R |
3.5338819048839 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999357262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7381a1 118096bg1 |
Quadratic twists by: -4 -11 |