Atkin-Lehner |
2- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782ba |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
209088 |
Modular degree for the optimal curve |
Δ |
-7793660195398 = -1 · 2 · 73 · 118 · 53 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1913,-130875] |
[a1,a2,a3,a4,a6] |
j |
3613599/36358 |
j-invariant |
L |
1.4606106262468 |
L(r)(E,1)/r! |
Ω |
0.36515266307701 |
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 |
89782q1 |
Quadratic twists by: -11 |