Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bg |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
355216640625 = 310 · 57 · 7 · 11 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2480,38522] |
[a1,a2,a3,a4,a6] |
j |
148035889/31185 |
j-invariant |
L |
1.8100788926293 |
L(r)(E,1)/r! |
Ω |
0.90503944631466 |
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 |
5775s1 3465p1 121275eo1 |
Quadratic twists by: -3 5 -7 |