Atkin-Lehner |
3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17325bh |
Isogeny class |
Conductor |
17325 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
-8.2256994128855E+20 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1866075,-970264719] |
[a1,a2,a3,a4,a6] |
j |
63090423356788736/72214645051395 |
j-invariant |
L |
4.7865755555009 |
L(r)(E,1)/r! |
Ω |
0.085474563491087 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5775t1 3465q1 121275er1 |
Quadratic twists by: -3 5 -7 |