Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
3504i |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-16370688 = -1 · 210 · 3 · 732 |
Discriminant |
Eigenvalues |
2+ 3- -4 4 6 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,40,-156] |
[a1,a2,a3,a4,a6] |
j |
6740636/15987 |
j-invariant |
L |
2.2762437486361 |
L(r)(E,1)/r! |
Ω |
1.138121874318 |
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 |
1752e2 14016bi2 10512f2 87600j2 |
Quadratic twists by: -4 8 -3 5 |