Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
123872k |
Isogeny class |
Conductor |
123872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-33310667264 = -1 · 29 · 77 · 79 |
Discriminant |
Eigenvalues |
2- 1 2 7- -1 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,768,-2920] |
[a1,a2,a3,a4,a6] |
Generators |
[58:490:1] [226:3430:1] |
Generators of the group modulo torsion |
j |
830584/553 |
j-invariant |
L |
15.37335171823 |
L(r)(E,1)/r! |
Ω |
0.66335005340797 |
Real period |
R |
2.8969153703265 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999955993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123872c1 17696d1 |
Quadratic twists by: -4 -7 |