Atkin-Lehner |
2+ 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
67938h |
Isogeny class |
Conductor |
67938 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
5660928 |
Modular degree for the optimal curve |
Δ |
-2.284219603875E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -2 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-432137,-7272409012] |
[a1,a2,a3,a4,a6] |
Generators |
[2939:128322:1] |
Generators of the group modulo torsion |
j |
-1848955724169553/4732359626981376 |
j-invariant |
L |
7.6086716305885 |
L(r)(E,1)/r! |
Ω |
0.054526020625705 |
Real period |
R |
2.6835005855998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5226f1 |
Quadratic twists by: 13 |