Atkin-Lehner |
5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
64715d |
Isogeny class |
Conductor |
64715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21824 |
Modular degree for the optimal curve |
Δ |
-97396075 = -1 · 52 · 72 · 433 |
Discriminant |
Eigenvalues |
-2 0 5- 7+ -5 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,43,462] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:17:1] [0:21:1] |
Generators of the group modulo torsion |
j |
110592/1225 |
j-invariant |
L |
4.9620371784557 |
L(r)(E,1)/r! |
Ω |
1.3970530612223 |
Real period |
R |
0.44397357875934 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64715c1 |
Quadratic twists by: -43 |