Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
168b |
Isogeny class |
Conductor |
168 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9144576 = 28 · 36 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-252,1620] |
[a1,a2,a3,a4,a6] |
j |
6940769488/35721 |
j-invariant |
L |
1.1607546520288 |
L(r)(E,1)/r! |
Ω |
2.3215093040576 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
336c2 1344j2 504g2 4200x2 |
Quadratic twists by: -4 8 -3 5 |