Atkin-Lehner |
5- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44965f |
Isogeny class |
Conductor |
44965 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
62915252825 = 52 · 17 · 236 |
Discriminant |
Eigenvalues |
1 2 5- 2 -2 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4507,113976] |
[a1,a2,a3,a4,a6] |
Generators |
[2339304:-12631072:35937] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
11.347082576301 |
L(r)(E,1)/r! |
Ω |
1.1117692138669 |
Real period |
R |
10.206329186646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85a1 |
Quadratic twists by: -23 |