Atkin-Lehner |
2- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9898c |
Isogeny class |
Conductor |
9898 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-23757920940404 = -1 · 22 · 78 · 1013 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 0 5 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6224,-301708] |
[a1,a2,a3,a4,a6] |
j |
-4625434177/4121204 |
j-invariant |
L |
6.2193666422632 |
L(r)(E,1)/r! |
Ω |
0.25914027676097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79184o2 89082k2 9898g2 |
Quadratic twists by: -4 -3 -7 |