Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34848bb |
Isogeny class |
Conductor |
34848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.7897421548172E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20029251,42850514806] |
[a1,a2,a3,a4,a6] |
Generators |
[-4939:145926:1] |
Generators of the group modulo torsion |
j |
-1343891598641864/421900912521 |
j-invariant |
L |
3.5297288556827 |
L(r)(E,1)/r! |
Ω |
0.092375375994296 |
Real period |
R |
4.7763389562561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34848cf2 69696cn3 11616bb4 3168z4 |
Quadratic twists by: -4 8 -3 -11 |