Atkin-Lehner |
3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bo |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
9670773041015625 = 312 · 59 · 7 · 113 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-228492,41829291] |
[a1,a2,a3,a4,a6] |
j |
926574216749/6792093 |
j-invariant |
L |
2.4654113299334 |
L(r)(E,1)/r! |
Ω |
0.41090188832224 |
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 |
5775x1 17325bv1 121275gm1 |
Quadratic twists by: -3 5 -7 |