Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
50400dq |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-20841167403000000 = -1 · 26 · 311 · 56 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47175,5717500] |
[a1,a2,a3,a4,a6] |
j |
15926924096/28588707 |
j-invariant |
L |
3.1590981043205 |
L(r)(E,1)/r! |
Ω |
0.26325817536565 |
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 |
50400v1 100800ex2 16800v1 2016e1 |
Quadratic twists by: -4 8 -3 5 |