Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bc |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-6739200 = -1 · 28 · 34 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 -1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68,-228] |
[a1,a2,a3,a4,a6] |
j |
-5513680/1053 |
j-invariant |
L |
1.6435249482298 |
L(r)(E,1)/r! |
Ω |
0.82176247411491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3900j1 62400hi1 46800dg1 15600cw1 |
Quadratic twists by: -4 8 -3 5 |