Atkin-Lehner |
3- 7- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
127323i |
Isogeny class |
Conductor |
127323 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
608981961987 = 316 · 7 · 43 · 47 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 5 -1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5945,-170890] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:85:1] [-44:85:1] |
Generators of the group modulo torsion |
j |
31870088727625/835366203 |
j-invariant |
L |
8.5607501198716 |
L(r)(E,1)/r! |
Ω |
0.54458030953076 |
Real period |
R |
7.8599519486916 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999878992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42441i1 |
Quadratic twists by: -3 |