Atkin-Lehner |
2- 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
114570bh |
Isogeny class |
Conductor |
114570 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
1088746574745600 = 212 · 38 · 52 · 192 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-193028,32651687] |
[a1,a2,a3,a4,a6] |
Generators |
[297:-1355:1] [-347:7773:1] |
Generators of the group modulo torsion |
j |
1091076010885691641/1493479526400 |
j-invariant |
L |
16.034424336154 |
L(r)(E,1)/r! |
Ω |
0.48944269211258 |
Real period |
R |
1.3650239850831 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999992379 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38190p2 |
Quadratic twists by: -3 |