Atkin-Lehner |
5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
44785a |
Isogeny class |
Conductor |
44785 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28512 |
Modular degree for the optimal curve |
Δ |
37843325 = 52 · 134 · 53 |
Discriminant |
Eigenvalues |
0 -2 5+ -1 0 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9351,344946] |
[a1,a2,a3,a4,a6] |
Generators |
[266:2141:8] |
Generators of the group modulo torsion |
j |
3166437474304/1325 |
j-invariant |
L |
2.7686000574093 |
L(r)(E,1)/r! |
Ω |
1.6685670575459 |
Real period |
R |
2.4889021195392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44785d1 |
Quadratic twists by: 13 |