Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13965o |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-1.6191347171334E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6143619,-1767714264] |
[a1,a2,a3,a4,a6] |
Generators |
[246836043:-23542388823:29791] |
Generators of the group modulo torsion |
j |
217975805967584185919/137624180157363375 |
j-invariant |
L |
3.2672862913954 |
L(r)(E,1)/r! |
Ω |
0.071159049370074 |
Real period |
R |
15.305086845682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41895bk1 69825j1 1995d1 |
Quadratic twists by: -3 5 -7 |