Atkin-Lehner |
2+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
39104f |
Isogeny class |
Conductor |
39104 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-6608576 = -1 · 26 · 133 · 47 |
Discriminant |
Eigenvalues |
2+ -1 -2 -2 -1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39,169] |
[a1,a2,a3,a4,a6] |
Generators |
[0:13:1] |
Generators of the group modulo torsion |
j |
-105154048/103259 |
j-invariant |
L |
2.6927369164709 |
L(r)(E,1)/r! |
Ω |
2.1618841681275 |
Real period |
R |
0.41518365571568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39104c1 19552b1 |
Quadratic twists by: -4 8 |