Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160i |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
14108774400 = 212 · 39 · 52 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1188,-14688] |
[a1,a2,a3,a4,a6] |
j |
2299968/175 |
j-invariant |
L |
1.6342224766576 |
L(r)(E,1)/r! |
Ω |
0.81711123832881 |
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 |
20160a2 10080f1 20160u2 100800e2 |
Quadratic twists by: -4 8 -3 5 |