Atkin-Lehner |
2+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334b |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
166154185287205682 = 2 · 72 · 1710 · 292 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2580342,-1596334630] |
[a1,a2,a3,a4,a6] |
Generators |
[1951030:962504245:8] |
Generators of the group modulo torsion |
j |
78715862981344009/6883633778 |
j-invariant |
L |
4.4205955570239 |
L(r)(E,1)/r! |
Ω |
0.11911939904853 |
Real period |
R |
9.2776568036699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998753495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6902b2 |
Quadratic twists by: 17 |