Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870t |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-11926503424000 = -1 · 224 · 53 · 112 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2324,160656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:84:1] [88:980:1] |
Generators of the group modulo torsion |
j |
11471891565431/98566144000 |
j-invariant |
L |
9.5641039095912 |
L(r)(E,1)/r! |
Ω |
0.52262285866623 |
Real period |
R |
0.76250841875402 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870g2 |
Quadratic twists by: -11 |