Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ey |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-12949559656906752 = -1 · 216 · 38 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34860,6020944] |
[a1,a2,a3,a4,a6] |
Generators |
[53:2079:1] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
8.2417488162088 |
L(r)(E,1)/r! |
Ω |
0.35174432901277 |
Real period |
R |
1.9525898310738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bi2 26928m2 35904ci2 |
Quadratic twists by: -4 8 -3 |