Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039x |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
114816 |
Modular degree for the optimal curve |
Δ |
-43528207003281 = -1 · 32 · 72 · 112 · 138 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 11+ 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8193,139554] |
[a1,a2,a3,a4,a6] |
Generators |
[183:-2880:1] |
Generators of the group modulo torsion |
j |
74559407/53361 |
j-invariant |
L |
3.0500474929815 |
L(r)(E,1)/r! |
Ω |
0.40718627276015 |
Real period |
R |
0.31210608193171 |
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 |
117117bs1 39039u1 |
Quadratic twists by: -3 13 |