Atkin-Lehner |
2+ 3- 13+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
38454f |
Isogeny class |
Conductor |
38454 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-1941767338992 = -1 · 24 · 3 · 136 · 172 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2406,-81176] |
[a1,a2,a3,a4,a6] |
j |
-1539398573169625/1941767338992 |
j-invariant |
L |
2.6031593489795 |
L(r)(E,1)/r! |
Ω |
0.32539491862581 |
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 |
115362l1 |
Quadratic twists by: -3 |