Atkin-Lehner |
2- 17- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118864i |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-4563554110208 = -1 · 28 · 173 · 193 · 232 |
Discriminant |
Eigenvalues |
2- -1 0 -2 0 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1173,104329] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:170:1] [85:782:1] |
Generators of the group modulo torsion |
j |
-697827328000/17826383243 |
j-invariant |
L |
8.8334862739372 |
L(r)(E,1)/r! |
Ω |
0.64806809683107 |
Real period |
R |
1.1358742392579 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29716b1 |
Quadratic twists by: -4 |