Atkin-Lehner |
2- 3- 5+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bp |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
55959425100 = 22 · 38 · 52 · 19 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-91238,10630217] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-143:1] |
Generators of the group modulo torsion |
j |
115217644236139801/76761900 |
j-invariant |
L |
7.7267393961508 |
L(r)(E,1)/r! |
Ω |
0.92376794138765 |
Real period |
R |
1.0455465908529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027559 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38190u2 |
Quadratic twists by: -3 |