Atkin-Lehner |
5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
21175h |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35822596577796875 = 56 · 76 · 117 |
Discriminant |
Eigenvalues |
1 -2 5+ 7+ 11- 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-155851,-21873777] |
[a1,a2,a3,a4,a6] |
j |
15124197817/1294139 |
j-invariant |
L |
1.932741763382 |
L(r)(E,1)/r! |
Ω |
0.24159272042275 |
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 |
847c2 1925f2 |
Quadratic twists by: 5 -11 |