Atkin-Lehner |
2- 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824bk |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
276528504014770176 = 212 · 314 · 132 · 174 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200019,-23354030] |
[a1,a2,a3,a4,a6] |
j |
296380748763217/92608836489 |
j-invariant |
L |
3.7005428317718 |
L(r)(E,1)/r! |
Ω |
0.23128392698569 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1989e3 127296cg4 10608ba3 |
Quadratic twists by: -4 8 -3 |