Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560bg |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
53792511091200 = 29 · 36 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5762547,5324389686] |
[a1,a2,a3,a4,a6] |
j |
481927184300808/1225 |
j-invariant |
L |
3.31235368625 |
L(r)(E,1)/r! |
Ω |
0.41404420905446 |
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 |
70560bh4 7840p2 10080j2 |
Quadratic twists by: -4 -3 -7 |