Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34476m |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-178723584 = -1 · 28 · 35 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -4 13+ 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,139,183] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
6815744/4131 |
j-invariant |
L |
5.2304511050489 |
L(r)(E,1)/r! |
Ω |
1.1076326835675 |
Real period |
R |
0.3148126138834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428s1 34476l1 |
Quadratic twists by: -3 13 |