Atkin-Lehner |
2- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
39104g |
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 |
[109:1152:1] |
Generators of the group modulo torsion |
j |
30080231/19552 |
j-invariant |
L |
5.7071537225086 |
L(r)(E,1)/r! |
Ω |
0.77862674028344 |
Real period |
R |
1.832442114828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39104a1 9776c1 |
Quadratic twists by: -4 8 |