Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192bf |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-3686144 = -1 · 28 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-284] |
[a1,a2,a3,a4,a6] |
j |
-2141392/119 |
j-invariant |
L |
3.140726005903 |
L(r)(E,1)/r! |
Ω |
0.78518154906328 |
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 |
115192g1 |
Quadratic twists by: -11 |