Atkin-Lehner |
5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44795b |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
1388645 = 5 · 172 · 312 |
Discriminant |
Eigenvalues |
0 0 5+ 0 -3 -2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-68,208] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:15:1] [4:0:1] |
Generators of the group modulo torsion |
j |
120324096/4805 |
j-invariant |
L |
6.8775831457547 |
L(r)(E,1)/r! |
Ω |
2.678469866635 |
Real period |
R |
1.2838642001216 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44795k1 |
Quadratic twists by: 17 |