Atkin-Lehner |
2- 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54978cc |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1137477569626225674 = 2 · 32 · 77 · 11 · 178 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-447469,-103189801] |
[a1,a2,a3,a4,a6] |
j |
84221775551938753/9668399813226 |
j-invariant |
L |
5.951066962367 |
L(r)(E,1)/r! |
Ω |
0.18597084264289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854l4 |
Quadratic twists by: -7 |