Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192p |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-15679079710832384 = -1 · 28 · 75 · 118 · 17 |
Discriminant |
Eigenvalues |
2+ -1 3 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10204,6040916] |
[a1,a2,a3,a4,a6] |
j |
-2141392/285719 |
j-invariant |
L |
3.2167750100778 |
L(r)(E,1)/r! |
Ω |
0.32167754340866 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192u1 |
Quadratic twists by: -11 |