Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325p |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
8880416015625 = 310 · 59 · 7 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45792,-3757509] |
[a1,a2,a3,a4,a6] |
Generators |
[-275990:196643:2197] |
Generators of the group modulo torsion |
j |
932288503609/779625 |
j-invariant |
L |
5.8330974968521 |
L(r)(E,1)/r! |
Ω |
0.32637997838847 |
Real period |
R |
8.9360528878846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775p1 3465t1 121275ee1 |
Quadratic twists by: -3 5 -7 |