Atkin-Lehner |
2+ 3+ 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
38106a |
Isogeny class |
Conductor |
38106 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38976 |
Modular degree for the optimal curve |
Δ |
-682703437824 = -1 · 214 · 39 · 29 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39,-39763] |
[a1,a2,a3,a4,a6] |
Generators |
[81621848:-922087539:681472] |
Generators of the group modulo torsion |
j |
328509/34684928 |
j-invariant |
L |
5.8028687739314 |
L(r)(E,1)/r! |
Ω |
0.41714163265933 |
Real period |
R |
13.91102762133 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38106h1 |
Quadratic twists by: -3 |