Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600m |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6084000000 = 28 · 32 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1308,17388] |
[a1,a2,a3,a4,a6] |
j |
61918288/1521 |
j-invariant |
L |
2.6813118071409 |
L(r)(E,1)/r! |
Ω |
1.3406559035704 |
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 |
7800a2 62400en2 46800k2 624c2 |
Quadratic twists by: -4 8 -3 5 |