Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
3384d |
Isogeny class |
Conductor |
3384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4947028992 = 210 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 4 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,862] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
12194500/6627 |
j-invariant |
L |
3.2502310657599 |
L(r)(E,1)/r! |
Ω |
1.1915355031319 |
Real period |
R |
0.68194171663723 |
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 |
6768a2 27072x2 1128f2 84600bp2 |
Quadratic twists by: -4 8 -3 5 |