Atkin-Lehner |
2- 3+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114840q |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
75794400000000 = 211 · 33 · 58 · 112 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10587,-18666] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:50:1] |
Generators of the group modulo torsion |
j |
2373278664006/1370703125 |
j-invariant |
L |
9.1294750873795 |
L(r)(E,1)/r! |
Ω |
0.51401935290923 |
Real period |
R |
2.2201194976124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114840b2 |
Quadratic twists by: -3 |