Atkin-Lehner |
5- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
44275n |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
15911328125 = 58 · 7 · 11 · 232 |
Discriminant |
Eigenvalues |
0 -2 5- 7+ 11- 1 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1583,-24006] |
[a1,a2,a3,a4,a6] |
Generators |
[58:287:1] |
Generators of the group modulo torsion |
j |
1123778560/40733 |
j-invariant |
L |
3.1067792414759 |
L(r)(E,1)/r! |
Ω |
0.75853113957346 |
Real period |
R |
0.68263056482685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275j1 |
Quadratic twists by: 5 |