Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83248bf |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-29067489329545216 = -1 · 230 · 114 · 432 |
Discriminant |
Eigenvalues |
2- 2 -3 4 11- -1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66832,-10537536] |
[a1,a2,a3,a4,a6] |
Generators |
[2226910638:5597626374:6967871] |
Generators of the group modulo torsion |
j |
-550494387553/484704256 |
j-invariant |
L |
9.163602399963 |
L(r)(E,1)/r! |
Ω |
0.14319937299591 |
Real period |
R |
15.997979266447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10406k1 83248bq1 |
Quadratic twists by: -4 -11 |