Atkin-Lehner |
2+ 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520b |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3972291840000 = 211 · 38 · 54 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20856,-1148400] |
[a1,a2,a3,a4,a6] |
Generators |
[-86:42:1] |
Generators of the group modulo torsion |
j |
489900223532018/1939595625 |
j-invariant |
L |
4.9457065813413 |
L(r)(E,1)/r! |
Ω |
0.39736854943792 |
Real period |
R |
3.1115362539205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999805201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56760g4 |
Quadratic twists by: -4 |