Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8722n |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-32836306496 = -1 · 26 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 1 1 7- 0 -4 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2010,-35932] |
[a1,a2,a3,a4,a6] |
Generators |
[88:642:1] |
Generators of the group modulo torsion |
j |
-7633736209/279104 |
j-invariant |
L |
7.6353373857812 |
L(r)(E,1)/r! |
Ω |
0.35574435199461 |
Real period |
R |
0.89429124020417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69776l1 78498w1 1246i1 |
Quadratic twists by: -4 -3 -7 |