Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
35244a |
Isogeny class |
Conductor |
35244 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-22107292416 = -1 · 28 · 36 · 113 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 0 11+ 5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26832,1691732] |
[a1,a2,a3,a4,a6] |
Generators |
[61:531:1] |
Generators of the group modulo torsion |
j |
-11447623942144/118459 |
j-invariant |
L |
6.6928770241647 |
L(r)(E,1)/r! |
Ω |
1.0915784603974 |
Real period |
R |
3.0656875648355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3916a1 |
Quadratic twists by: -3 |