Atkin-Lehner |
2+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870c |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-13818841300 = -1 · 22 · 52 · 113 · 473 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 11+ -5 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-710,9400] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:70:1] [18:38:1] |
Generators of the group modulo torsion |
j |
-29762179299/10382300 |
j-invariant |
L |
6.7300167334719 |
L(r)(E,1)/r! |
Ω |
1.1827352257296 |
Real period |
R |
0.23709225682487 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56870o1 |
Quadratic twists by: -11 |