Atkin-Lehner |
3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13923c |
Isogeny class |
Conductor |
13923 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
34793577 = 33 · 73 · 13 · 172 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 13+ 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-296,2010] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:62:1] [-1:48:1] |
Generators of the group modulo torsion |
j |
105890949891/1288651 |
j-invariant |
L |
4.1766901040715 |
L(r)(E,1)/r! |
Ω |
2.073459097745 |
Real period |
R |
0.67145285682474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13923d1 97461d1 |
Quadratic twists by: -3 -7 |