Atkin-Lehner |
2+ 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
25830i |
Isogeny class |
Conductor |
25830 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5676604110351562500 = -1 · 22 · 310 · 512 · 74 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1284120,572019700] |
[a1,a2,a3,a4,a6] |
j |
-321227859918394638721/7786836914062500 |
j-invariant |
L |
1.9195140622061 |
L(r)(E,1)/r! |
Ω |
0.23993925777578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610m4 129150dg3 |
Quadratic twists by: -3 5 |