Atkin-Lehner |
2- 3- 5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
88110cg |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1079808 |
Modular degree for the optimal curve |
Δ |
-33179821945787880 = -1 · 23 · 325 · 5 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -6 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-149063,-23784793] |
[a1,a2,a3,a4,a6] |
Generators |
[1098627343:13982261842:2048383] |
Generators of the group modulo torsion |
j |
-502461771077385001/45514159047720 |
j-invariant |
L |
11.503439138123 |
L(r)(E,1)/r! |
Ω |
0.12086253682345 |
Real period |
R |
15.862978776692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29370o1 |
Quadratic twists by: -3 |