Atkin-Lehner |
2+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39104a |
Isogeny class |
Conductor |
39104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-5125439488 = -1 · 223 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ -2 -4 0 0 13+ 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415,1279] |
[a1,a2,a3,a4,a6] |
Generators |
[19:128:1] |
Generators of the group modulo torsion |
j |
30080231/19552 |
j-invariant |
L |
1.9986664701686 |
L(r)(E,1)/r! |
Ω |
0.8516048696003 |
Real period |
R |
0.58673527521747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39104g1 1222a1 |
Quadratic twists by: -4 8 |