Atkin-Lehner |
5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44795j |
Isogeny class |
Conductor |
44795 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26784 |
Modular degree for the optimal curve |
Δ |
34716125 = 53 · 172 · 312 |
Discriminant |
Eigenvalues |
2 2 5- 4 -3 2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-300,2083] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:461:8] |
Generators of the group modulo torsion |
j |
10366603264/120125 |
j-invariant |
L |
19.662576751474 |
L(r)(E,1)/r! |
Ω |
2.0743502416065 |
Real period |
R |
1.5798181326935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44795d1 |
Quadratic twists by: 17 |