Atkin-Lehner |
5- 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44795k |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
33518514504005 = 5 · 178 · 312 |
Discriminant |
Eigenvalues |
0 0 5- 0 3 -2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19652,1023132] |
[a1,a2,a3,a4,a6] |
Generators |
[0:1011:1] |
Generators of the group modulo torsion |
j |
120324096/4805 |
j-invariant |
L |
4.3963276203385 |
L(r)(E,1)/r! |
Ω |
0.64962436324532 |
Real period |
R |
1.1279153176987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44795b1 |
Quadratic twists by: 17 |