Atkin-Lehner |
3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59565p |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-43804184569695 = -1 · 34 · 5 · 112 · 197 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 11- 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11199,-557219] |
[a1,a2,a3,a4,a6] |
j |
-3301293169/931095 |
j-invariant |
L |
0.91481536997931 |
L(r)(E,1)/r! |
Ω |
0.22870384411405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3135a1 |
Quadratic twists by: -19 |