Atkin-Lehner |
13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
13351a |
Isogeny class |
Conductor |
13351 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4488 |
Modular degree for the optimal curve |
Δ |
381317911 = 136 · 79 |
Discriminant |
Eigenvalues |
1 -1 3 1 2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-341,2098] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:62:1] |
Generators of the group modulo torsion |
j |
912673/79 |
j-invariant |
L |
5.590075266692 |
L(r)(E,1)/r! |
Ω |
1.6504550616444 |
Real period |
R |
3.3869902892857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120159i1 79a1 |
Quadratic twists by: -3 13 |