Atkin-Lehner |
2+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
51136c |
Isogeny class |
Conductor |
51136 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
86984178532352 = 220 · 17 · 474 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26156,-1565136] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:128:1] [216:1692:1] |
Generators of the group modulo torsion |
j |
7549145158113/331818308 |
j-invariant |
L |
7.7560044144742 |
L(r)(E,1)/r! |
Ω |
0.37643096606695 |
Real period |
R |
10.302027614135 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51136n3 1598b3 |
Quadratic twists by: -4 8 |