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 |
12135225600 = 28 · 38 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,-11914] |
[a1,a2,a3,a4,a6] |
j |
680136784/65025 |
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 |
6120l2 48960eq2 4080a2 61200bc2 |
Quadratic twists by: -4 8 -3 5 |