Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600b |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
52052422500000000 = 28 · 36 · 510 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3802508,-2852707488] |
[a1,a2,a3,a4,a6] |
Generators |
[-54576164007236:-3150150746072:48587168449] |
Generators of the group modulo torsion |
j |
1520107298839022416/13013105625 |
j-invariant |
L |
4.4495650897492 |
L(r)(E,1)/r! |
Ω |
0.10811407429921 |
Real period |
R |
20.578102890817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7800e2 62400hb2 46800p2 3120j2 |
Quadratic twists by: -4 8 -3 5 |