Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596w |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12476958677404416 = 28 · 312 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 2 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140439,-19531330] |
[a1,a2,a3,a4,a6] |
j |
340062928/13851 |
j-invariant |
L |
1.9779135226197 |
L(r)(E,1)/r! |
Ω |
0.24723926606408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38532g2 684b2 |
Quadratic twists by: -3 13 |