Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
846b |
Isogeny class |
Conductor |
846 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3220722 = 2 · 36 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87,323] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:27:1] |
Generators of the group modulo torsion |
j |
100544625/4418 |
j-invariant |
L |
1.7694946429104 |
L(r)(E,1)/r! |
Ω |
2.4931128809848 |
Real period |
R |
0.70975311884451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6768l2 27072w2 94a2 21150bw2 |
Quadratic twists by: -4 8 -3 5 |