Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
846a |
Isogeny class |
Conductor |
846 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
77297328 = 24 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 0 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2295,-41747] |
[a1,a2,a3,a4,a6] |
j |
1834216913521/106032 |
j-invariant |
L |
1.379515276798 |
L(r)(E,1)/r! |
Ω |
0.68975763839902 |
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 |
6768u2 27072u2 282b2 21150cg2 |
Quadratic twists by: -4 8 -3 5 |