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 |
2.7554424328098E+23 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22670076,32988228064] |
[a1,a2,a3,a4,a6] |
Generators |
[12562:284229:8] |
Generators of the group modulo torsion |
j |
243578556889408/52089208083 |
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 |
34848cf3 69696cn1 11616bb3 3168z3 |
Quadratic twists by: -4 8 -3 -11 |