Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342i |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.256702264612E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-916848,-291471440] |
[a1,a2,a3,a4,a6] |
Generators |
[-568:7052:1] |
Generators of the group modulo torsion |
j |
993802845830257/146526652944 |
j-invariant |
L |
3.005488331739 |
L(r)(E,1)/r! |
Ω |
0.15580676120038 |
Real period |
R |
4.8224613434357 |
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 |
9114s2 3906g2 |
Quadratic twists by: -3 -7 |