Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562bc |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
14569824897936 = 24 · 312 · 72 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-38579,-2901117] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:120:1] |
Generators of the group modulo torsion |
j |
8710408612492777/19986042384 |
j-invariant |
L |
9.3945049248984 |
L(r)(E,1)/r! |
Ω |
0.34070034158658 |
Real period |
R |
3.4467623664354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7854a2 |
Quadratic twists by: -3 |