Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728ba |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-6288128 = -1 · 28 · 7 · 112 · 29 |
Discriminant |
Eigenvalues |
2- -1 -4 7- 11- -2 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-119] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-22:1] |
Generators of the group modulo torsion |
j |
-65536/24563 |
j-invariant |
L |
2.575888681916 |
L(r)(E,1)/r! |
Ω |
1.0680846213586 |
Real period |
R |
0.60292242543465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8932b1 |
Quadratic twists by: -4 |