Atkin-Lehner |
2+ 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
59878f |
Isogeny class |
Conductor |
59878 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-1282114801604 = -1 · 22 · 79 · 132 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 3 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-179219,29187778] |
[a1,a2,a3,a4,a6] |
Generators |
[256:190:1] |
Generators of the group modulo torsion |
j |
-5411082280083481/10897796 |
j-invariant |
L |
4.4864813835601 |
L(r)(E,1)/r! |
Ω |
0.73944595971488 |
Real period |
R |
0.75841941598436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000465 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8554a1 |
Quadratic twists by: -7 |