Atkin-Lehner |
2- 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646ba |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3701633187939848 = 23 · 78 · 174 · 312 |
Discriminant |
Eigenvalues |
2- -2 2 7- 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-93297,-10578527] |
[a1,a2,a3,a4,a6] |
j |
763376524275457/31463362952 |
j-invariant |
L |
3.2863742856921 |
L(r)(E,1)/r! |
Ω |
0.27386452386477 |
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 |
7378o2 |
Quadratic twists by: -7 |