Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115596v |
Isogeny class |
Conductor |
115596 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-17115169653504 = -1 · 28 · 36 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 5 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32448,2258516] |
[a1,a2,a3,a4,a6] |
j |
-4194304/19 |
j-invariant |
L |
2.7864934423916 |
L(r)(E,1)/r! |
Ω |
0.69662349711465 |
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 |
12844d1 684a1 |
Quadratic twists by: -3 13 |