Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039v |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
122304 |
Modular degree for the optimal curve |
Δ |
-10566787514283 = -1 · 37 · 7 · 11 · 137 |
Discriminant |
Eigenvalues |
-2 3- 0 7+ 11- 13+ 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16618,-844814] |
[a1,a2,a3,a4,a6] |
Generators |
[212:2281:1] |
Generators of the group modulo torsion |
j |
-105154048000/2189187 |
j-invariant |
L |
3.351907282923 |
L(r)(E,1)/r! |
Ω |
0.20998448740538 |
Real period |
R |
0.57009437158571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117u1 3003i1 |
Quadratic twists by: -3 13 |