Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1848j |
Isogeny class |
Conductor |
1848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2915733832704 = 210 · 34 · 74 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3704,-29184] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:240:1] |
Generators of the group modulo torsion |
j |
5489767279588/2847396321 |
j-invariant |
L |
3.0571286726125 |
L(r)(E,1)/r! |
Ω |
0.64762689748721 |
Real period |
R |
2.3602545574266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3696g3 14784i3 5544g3 46200g4 |
Quadratic twists by: -4 8 -3 5 |