Atkin-Lehner |
2- 3+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
3612b |
Isogeny class |
Conductor |
3612 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2579895214848 = 28 · 314 · 72 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10508,410856] |
[a1,a2,a3,a4,a6] |
j |
501285645250000/10077715683 |
j-invariant |
L |
0.81146279680284 |
L(r)(E,1)/r! |
Ω |
0.81146279680284 |
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 |
14448be2 57792bi2 10836b2 90300br2 |
Quadratic twists by: -4 8 -3 5 |