Atkin-Lehner |
2+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192g |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
219648 |
Modular degree for the optimal curve |
Δ |
-6530228950784 = -1 · 28 · 7 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10204,418772] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:808:1] |
Generators of the group modulo torsion |
j |
-2141392/119 |
j-invariant |
L |
6.4742419066259 |
L(r)(E,1)/r! |
Ω |
0.7413474394482 |
Real period |
R |
4.3665369261662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999500902 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192bf1 |
Quadratic twists by: -11 |