Atkin-Lehner |
2+ 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24528a |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2585582426112 = 211 · 3 · 78 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10144,388960] |
[a1,a2,a3,a4,a6] |
j |
56372110385474/1262491419 |
j-invariant |
L |
1.6208875297105 |
L(r)(E,1)/r! |
Ω |
0.81044376485526 |
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 |
12264g3 98112by4 73584e4 |
Quadratic twists by: -4 8 -3 |