Atkin-Lehner |
2+ 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640i |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
526400 = 26 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-437,-3516] |
[a1,a2,a3,a4,a6] |
j |
144207566784/8225 |
j-invariant |
L |
1.0441927692231 |
L(r)(E,1)/r! |
Ω |
1.0441927697213 |
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 |
52640m1 105280g2 |
Quadratic twists by: -4 8 |