Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680cg |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1355367967200000 = -1 · 28 · 33 · 55 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -1 13+ -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8112,1748812] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:507:1] [62:1578:1] |
Generators of the group modulo torsion |
j |
1769472/40625 |
j-invariant |
L |
11.003477716401 |
L(r)(E,1)/r! |
Ω |
0.36073141800972 |
Real period |
R |
1.9064526209838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991159 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30420b1 121680ct1 9360bc1 |
Quadratic twists by: -4 -3 13 |