Atkin-Lehner |
13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
13351b |
Isogeny class |
Conductor |
13351 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4043685548113169803 = -1 · 1315 · 79 |
Discriminant |
Eigenvalues |
0 -2 0 1 -6 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,239417,-85519729] |
[a1,a2,a3,a4,a6] |
Generators |
[1617:67321:1] [160062:4826701:216] |
Generators of the group modulo torsion |
j |
314432000000000/837755450467 |
j-invariant |
L |
4.1259991102534 |
L(r)(E,1)/r! |
Ω |
0.12724207687938 |
Real period |
R |
8.1065933758773 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159j3 1027a3 |
Quadratic twists by: -3 13 |