Atkin-Lehner |
2- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31772a |
Isogeny class |
Conductor |
31772 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
1009459984 = 24 · 134 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 1 -3 13+ -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-394,2729] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:47:1] [-17:65:1] |
Generators of the group modulo torsion |
j |
14839552/2209 |
j-invariant |
L |
6.4285784343684 |
L(r)(E,1)/r! |
Ω |
1.4964210276547 |
Real period |
R |
0.23866494773439 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127088l1 31772c1 |
Quadratic twists by: -4 13 |