Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
2678k |
Isogeny class |
Conductor |
2678 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
5484544 = 212 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 1 -4 0 13+ 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-85,-287] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:7:1] |
Generators of the group modulo torsion |
j |
67967263441/5484544 |
j-invariant |
L |
5.0735757502205 |
L(r)(E,1)/r! |
Ω |
1.5802922004332 |
Real period |
R |
0.26754417889879 |
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 |
21424f1 85696z1 24102i1 66950m1 |
Quadratic twists by: -4 8 -3 5 |