Atkin-Lehner |
2+ 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712bg |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-3.376771887195E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7132140,7336576944] |
[a1,a2,a3,a4,a6] |
Generators |
[2118:41616:1] |
Generators of the group modulo torsion |
j |
-419899962807227250/353398147729 |
j-invariant |
L |
4.5853492236252 |
L(r)(E,1)/r! |
Ω |
0.20566753215948 |
Real period |
R |
0.46447831384438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712ew2 13464r2 11968e2 |
Quadratic twists by: -4 8 -3 |