Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
9968m |
Isogeny class |
Conductor |
9968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1143209984 = -1 · 218 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 0 4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-656,-6892] |
[a1,a2,a3,a4,a6] |
j |
-7633736209/279104 |
j-invariant |
L |
1.8824221713871 |
L(r)(E,1)/r! |
Ω |
0.47060554284677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1246i1 39872bi1 89712z1 69776l1 |
Quadratic twists by: -4 8 -3 -7 |