Atkin-Lehner |
2- 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
89712be |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-39879495936 = -1 · 28 · 36 · 74 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -4 4 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-279,-9774] |
[a1,a2,a3,a4,a6] |
j |
-12869712/213689 |
j-invariant |
L |
1.9734604446923 |
L(r)(E,1)/r! |
Ω |
0.49336512455323 |
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 |
22428c1 9968p1 |
Quadratic twists by: -4 -3 |