Atkin-Lehner |
2+ 5+ 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
70550d |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
18739843750000000 = 27 · 514 · 172 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1422067,653044341] |
[a1,a2,a3,a4,a6] |
j |
20354668475508833409/1199350000000 |
j-invariant |
L |
0.73258344941864 |
L(r)(E,1)/r! |
Ω |
0.36629171961998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110g2 |
Quadratic twists by: 5 |