Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bi |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
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 |
[280:2484:1] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
4.778717174612 |
L(r)(E,1)/r! |
Ω |
0.16204865719697 |
Real period |
R |
3.6861745858801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083554 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ey2 13464t2 35904m2 |
Quadratic twists by: -4 8 -3 |