Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328bf |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4294296904023945216 = -1 · 212 · 32 · 1911 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-25358565,-49159868013] |
[a1,a2,a3,a4,a6] |
j |
-9358714467168256/22284891 |
j-invariant |
L |
3.3638632098004 |
L(r)(E,1)/r! |
Ω |
0.033638632098004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1083c2 69312co2 51984cq2 912f2 |
Quadratic twists by: -4 8 -3 -19 |