Atkin-Lehner |
3- 5- 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745bn |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
524072279390625 = 38 · 56 · 72 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-847877,300711804] |
[a1,a2,a3,a4,a6] |
Generators |
[-988:13656:1] [512:-1044:1] |
Generators of the group modulo torsion |
j |
92468596758166846729/718892015625 |
j-invariant |
L |
7.9453131786089 |
L(r)(E,1)/r! |
Ω |
0.46755992023255 |
Real period |
R |
1.4160953555699 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000888 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33915c2 |
Quadratic twists by: -3 |