Atkin-Lehner |
11+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
115159a |
Isogeny class |
Conductor |
115159 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
655776 |
Modular degree for the optimal curve |
Δ |
-435221445131 = -1 · 11 · 196 · 292 |
Discriminant |
Eigenvalues |
-2 3 1 4 11+ -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13357,595018] |
[a1,a2,a3,a4,a6] |
j |
-5601816576/9251 |
j-invariant |
L |
3.7640349931398 |
L(r)(E,1)/r! |
Ω |
0.9410090687363 |
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 |
319a1 |
Quadratic twists by: -19 |