Atkin-Lehner |
3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325q |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
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,-3654567,2689983216] |
[a1,a2,a3,a4,a6] |
Generators |
[12462:216519:8] |
Generators of the group modulo torsion |
j |
473897054735271721/779625 |
j-invariant |
L |
5.5188998689602 |
L(r)(E,1)/r! |
Ω |
0.47153255899959 |
Real period |
R |
2.9260438985747 |
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 |
5775o1 3465k1 121275ed1 |
Quadratic twists by: -3 5 -7 |