Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
910a |
Isogeny class |
Conductor |
910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6492304000000 = 210 · 56 · 74 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7120,-194304] |
[a1,a2,a3,a4,a6] |
j |
39920686684059609/6492304000000 |
j-invariant |
L |
1.0509058341893 |
L(r)(E,1)/r! |
Ω |
0.52545291709464 |
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 |
7280k2 29120be2 8190bt2 4550s2 |
Quadratic twists by: -4 8 -3 5 |