Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944v |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
252502272 = 28 · 37 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4071,99974] |
[a1,a2,a3,a4,a6] |
Generators |
[101:848:1] |
Generators of the group modulo torsion |
j |
39981540688/1353 |
j-invariant |
L |
6.1238923411287 |
L(r)(E,1)/r! |
Ω |
1.6363025388817 |
Real period |
R |
3.7425183886882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998478 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472f1 21648c1 |
Quadratic twists by: -4 -3 |