Atkin-Lehner |
2- 3+ 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
24240bc |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
216604606464000000 = 224 · 34 · 56 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-387400,90195952] |
[a1,a2,a3,a4,a6] |
j |
1569797865978006601/52881984000000 |
j-invariant |
L |
1.8811174340275 |
L(r)(E,1)/r! |
Ω |
0.31351957233791 |
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 |
3030n2 96960da2 72720bf2 121200dh2 |
Quadratic twists by: -4 8 -3 5 |