Atkin-Lehner |
2- 3- 5- 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17670bb |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
2187 |
Product of Tamagawa factors cp |
deg |
427680 |
Modular degree for the optimal curve |
Δ |
1.1141148807E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1469295,666308025] |
[a1,a2,a3,a4,a6] |
j |
350792849898814825511281/11141148807000000000 |
j-invariant |
L |
6.1007762253208 |
L(r)(E,1)/r! |
Ω |
0.22595467501188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
9 |
Number of elements in the torsion subgroup |
Twists |
53010n1 88350k1 |
Quadratic twists by: -3 5 |