Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120r |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
823680831052800 = 210 · 314 · 52 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26067,846974] |
[a1,a2,a3,a4,a6] |
j |
2624033547076/1103396175 |
j-invariant |
L |
3.6297126198586 |
L(r)(E,1)/r! |
Ω |
0.45371407402734 |
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 |
26040k2 |
Quadratic twists by: -3 |