Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952gu |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
9.4930626922304E+18 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1961211,1046700074] |
[a1,a2,a3,a4,a6] |
Generators |
[589:9792:1] |
Generators of the group modulo torsion |
j |
814544990575471/9268826496 |
j-invariant |
L |
6.1310985008721 |
L(r)(E,1)/r! |
Ω |
0.2311246802998 |
Real period |
R |
0.55265071836038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998567045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14994da2 39984bu2 119952fc2 |
Quadratic twists by: -4 -3 -7 |