Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114444l |
Isogeny class |
Conductor |
114444 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-186716949762816 = -1 · 28 · 38 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 11+ 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13872,-909772] |
[a1,a2,a3,a4,a6] |
j |
-18939904/11979 |
j-invariant |
L |
0.85536417694167 |
L(r)(E,1)/r! |
Ω |
0.21384098304218 |
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 |
38148g1 114444n1 |
Quadratic twists by: -3 17 |