Atkin-Lehner |
2+ 5- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960v |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-165068800 = -1 · 214 · 52 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -3 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-85,-717] |
[a1,a2,a3,a4,a6] |
j |
-4194304/10075 |
j-invariant |
L |
1.4654819471369 |
L(r)(E,1)/r! |
Ω |
0.73274092833731 |
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 |
128960bk1 8060a1 |
Quadratic twists by: -4 8 |