Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ez |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1657543636084064256 = 223 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1719084,-865334320] |
[a1,a2,a3,a4,a6] |
Generators |
[-755:1485:1] |
Generators of the group modulo torsion |
j |
2940001530995593/8673562656 |
j-invariant |
L |
8.9688219135006 |
L(r)(E,1)/r! |
Ω |
0.13187191082232 |
Real period |
R |
2.8338173791627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009388 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bk2 26928bk2 35904bq2 |
Quadratic twists by: -4 8 -3 |