Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
17316c |
Isogeny class |
Conductor |
17316 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
12257639898192 = 24 · 316 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54120,-4843087] |
[a1,a2,a3,a4,a6] |
j |
1502967414784000/1050895053 |
j-invariant |
L |
1.8781470221709 |
L(r)(E,1)/r! |
Ω |
0.31302450369515 |
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 |
69264x1 5772b1 |
Quadratic twists by: -4 -3 |