Atkin-Lehner |
2- 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
44286ba |
Isogeny class |
Conductor |
44286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
-235366051338 = -1 · 2 · 32 · 118 · 61 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 11- -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85489,-9656503] |
[a1,a2,a3,a4,a6] |
Generators |
[358241454220:-3231445359173:964430272] |
Generators of the group modulo torsion |
j |
-322339300657/1098 |
j-invariant |
L |
5.6075898351863 |
L(r)(E,1)/r! |
Ω |
0.13960207853557 |
Real period |
R |
20.084191775689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44286h1 |
Quadratic twists by: -11 |