Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240u |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
935221386240 = 210 · 37 · 5 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3747,75026] |
[a1,a2,a3,a4,a6] |
j |
7793764996/1252815 |
j-invariant |
L |
1.6888858908891 |
L(r)(E,1)/r! |
Ω |
0.84444294544457 |
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 |
6120l3 48960eq3 4080a3 61200bc3 |
Quadratic twists by: -4 8 -3 5 |