Atkin-Lehner |
2+ 3+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
4272a |
Isogeny class |
Conductor |
4272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10408184875008 = -1 · 211 · 34 · 894 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,816,-155232] |
[a1,a2,a3,a4,a6] |
j |
29304337246/5082121521 |
j-invariant |
L |
0.68179045459362 |
L(r)(E,1)/r! |
Ω |
0.34089522729681 |
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 |
2136a4 17088m4 12816a4 106800s3 |
Quadratic twists by: -4 8 -3 5 |