Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
8400cr |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-285768000000000 = -1 · 212 · 36 · 59 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 6 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2792,-810412] |
[a1,a2,a3,a4,a6] |
j |
300763/35721 |
j-invariant |
L |
3.1157746238868 |
L(r)(E,1)/r! |
Ω |
0.2596478853239 |
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 |
525c2 33600fs2 25200fi2 8400by2 |
Quadratic twists by: -4 8 -3 5 |