Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470k |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
682345620 = 22 · 34 · 5 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8654,309116] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:747:1] [96:-653:1] |
Generators of the group modulo torsion |
j |
71664197645688409/682345620 |
j-invariant |
L |
5.8288534893832 |
L(r)(E,1)/r! |
Ω |
1.4550633030409 |
Real period |
R |
0.50073882328697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410bs2 97350bm2 |
Quadratic twists by: -3 5 |