Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107712ck |
Isogeny class |
Conductor |
107712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-65839585591296 = -1 · 215 · 37 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9204,-192080] |
[a1,a2,a3,a4,a6] |
Generators |
[29:315:1] [54:680:1] |
Generators of the group modulo torsion |
j |
3609741304/2756193 |
j-invariant |
L |
10.637423111484 |
L(r)(E,1)/r! |
Ω |
0.34580358943748 |
Real period |
R |
3.8451824377568 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107712bo3 53856j2 35904y3 |
Quadratic twists by: -4 8 -3 |