Atkin-Lehner |
2- 3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
47430bc |
Isogeny class |
Conductor |
47430 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-12490749787500 = -1 · 22 · 38 · 55 · 173 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -5 -1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4208,200927] |
[a1,a2,a3,a4,a6] |
j |
-11301253512121/17134087500 |
j-invariant |
L |
2.5566450517044 |
L(r)(E,1)/r! |
Ω |
0.63916126299123 |
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 |
15810h1 |
Quadratic twists by: -3 |