Atkin-Lehner |
2+ 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
14160g |
Isogeny class |
Conductor |
14160 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-8156160 = -1 · 210 · 33 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -2 -5 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-160,740] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
-445138564/7965 |
j-invariant |
L |
6.2457506106669 |
L(r)(E,1)/r! |
Ω |
2.3344714668633 |
Real period |
R |
0.4459075426224 |
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 |
7080i1 56640bv1 42480g1 70800b1 |
Quadratic twists by: -4 8 -3 5 |