Atkin-Lehner |
2- 3+ 41- 73- |
Signs for the Atkin-Lehner involutions |
Class |
17958j |
Isogeny class |
Conductor |
17958 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4996042382905344 = 212 · 34 · 414 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-44854,-1361869] |
[a1,a2,a3,a4,a6] |
Generators |
[-175:1167:1] [-63:1135:1] |
Generators of the group modulo torsion |
j |
9979938233727490657/4996042382905344 |
j-invariant |
L |
7.9755369042123 |
L(r)(E,1)/r! |
Ω |
0.34560369821025 |
Real period |
R |
7.6923722609787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
53874a2 |
Quadratic twists by: -3 |