Atkin-Lehner |
2+ 3- 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
18870k |
Isogeny class |
Conductor |
18870 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4189140000 = 25 · 32 · 54 · 17 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2844,58042] |
[a1,a2,a3,a4,a6] |
j |
2542687310298169/4189140000 |
j-invariant |
L |
2.7712138233887 |
L(r)(E,1)/r! |
Ω |
1.3856069116943 |
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 |
56610z2 94350be2 |
Quadratic twists by: -3 5 |