Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760z |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1308971417600 = 214 · 52 · 74 · 113 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2856,-19600] |
[a1,a2,a3,a4,a6] |
j |
472729139/240100 |
j-invariant |
L |
2.7567365073288 |
L(r)(E,1)/r! |
Ω |
0.68918412465435 |
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 |
8470g2 67760bl2 |
Quadratic twists by: -4 -11 |