Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
29120cf |
Isogeny class |
Conductor |
29120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1304576000000000000 = 223 · 512 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6978572,7095531536] |
[a1,a2,a3,a4,a6] |
j |
143378317900125424089/4976562500000 |
j-invariant |
L |
1.5235548683438 |
L(r)(E,1)/r! |
Ω |
0.25392581139083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29120be4 7280k3 |
Quadratic twists by: -4 8 |