Atkin-Lehner |
2- 3+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
56550bl |
Isogeny class |
Conductor |
56550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
232978820800781250 = 2 · 34 · 518 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8151338,-8960962219] |
[a1,a2,a3,a4,a6] |
j |
3833455222908263170009/14910644531250 |
j-invariant |
L |
2.8591860019817 |
L(r)(E,1)/r! |
Ω |
0.089349562496728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11310d3 |
Quadratic twists by: 5 |