Atkin-Lehner |
2- 11- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
66352k |
Isogeny class |
Conductor |
66352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-67944448 = -1 · 214 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 -1 11- 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155,842] |
[a1,a2,a3,a4,a6] |
Generators |
[7:10:1] [13:32:1] |
Generators of the group modulo torsion |
j |
-100544625/16588 |
j-invariant |
L |
9.8809310396256 |
L(r)(E,1)/r! |
Ω |
1.8825955565469 |
Real period |
R |
1.3121420324832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999802 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8294b1 |
Quadratic twists by: -4 |