Atkin-Lehner |
13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13351d |
Isogeny class |
Conductor |
13351 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1824 |
Modular degree for the optimal curve |
Δ |
-173563 = -1 · 133 · 79 |
Discriminant |
Eigenvalues |
-2 -2 -2 1 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-4,-22] |
[a1,a2,a3,a4,a6] |
Generators |
[3:1:1] [4:6:1] |
Generators of the group modulo torsion |
j |
-4096/79 |
j-invariant |
L |
2.3583051158255 |
L(r)(E,1)/r! |
Ω |
1.3847419293133 |
Real period |
R |
0.85153235628259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159o1 13351c1 |
Quadratic twists by: -3 13 |