Atkin-Lehner |
3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96387i |
Isogeny class |
Conductor |
96387 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
1645056 |
Modular degree for the optimal curve |
Δ |
-540720633932855667 = -1 · 317 · 196 · 89 |
Discriminant |
Eigenvalues |
0 3- 4 -2 2 -6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-159321,-43073962] |
[a1,a2,a3,a4,a6] |
Generators |
[15738:1973767:1] |
Generators of the group modulo torsion |
j |
-9506571157504/11493474507 |
j-invariant |
L |
8.5893076158916 |
L(r)(E,1)/r! |
Ω |
0.11421243406998 |
Real period |
R |
2.211901852862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
267b1 |
Quadratic twists by: -19 |