Atkin-Lehner |
2- 7+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568w |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-595148603392 = -1 · 216 · 7 · 172 · 672 |
Discriminant |
Eigenvalues |
2- 0 0 7+ -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-755,-37966] |
[a1,a2,a3,a4,a6] |
Generators |
[73:-544:1] [11593:1248224:1] |
Generators of the group modulo torsion |
j |
-11619959625/145299952 |
j-invariant |
L |
10.899625766554 |
L(r)(E,1)/r! |
Ω |
0.39123059368067 |
Real period |
R |
6.9649625734604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999965498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15946c1 |
Quadratic twists by: -4 |