Atkin-Lehner |
2+ 3- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
59160f |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-483832743091200 = -1 · 210 · 33 · 52 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6576,1075824] |
[a1,a2,a3,a4,a6] |
j |
-30716746229956/472492913175 |
j-invariant |
L |
2.6607482715937 |
L(r)(E,1)/r! |
Ω |
0.44345804536871 |
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 |
118320a1 |
Quadratic twists by: -4 |