Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4794g |
Isogeny class |
Conductor |
4794 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-5703556032 = -1 · 26 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -6 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,67,3633] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:55:1] |
Generators of the group modulo torsion |
j |
33230963375/5703556032 |
j-invariant |
L |
6.2059258112517 |
L(r)(E,1)/r! |
Ω |
1.0417049613283 |
Real period |
R |
0.24822790687851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38352i1 14382g1 119850k1 81498m1 |
Quadratic twists by: -4 -3 5 17 |