Atkin-Lehner |
2+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872m |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
-285802496 = -1 · 216 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ -3 -3 7+ -4 0 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116,-656] |
[a1,a2,a3,a4,a6] |
Generators |
[22:112:1] [6:16:1] |
Generators of the group modulo torsion |
j |
2634012/4361 |
j-invariant |
L |
4.0809535386873 |
L(r)(E,1)/r! |
Ω |
0.91259662404069 |
Real period |
R |
0.55897554176484 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872bn1 4984a1 |
Quadratic twists by: -4 8 |