Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600dk |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1102248000000000 = 212 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91853833,338808889463] |
[a1,a2,a3,a4,a6] |
j |
10713357105862263488/137781 |
j-invariant |
L |
4.4684697676157 |
L(r)(E,1)/r! |
Ω |
0.24824832042398 |
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 |
33600bi2 16800bl1 100800hs2 33600bg2 |
Quadratic twists by: -4 8 -3 5 |