Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
67680g |
Isogeny class |
Conductor |
67680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4262865408000 = -1 · 212 · 311 · 53 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -4 -5 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,99488] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:324:1] |
Generators of the group modulo torsion |
j |
-7529536/1427625 |
j-invariant |
L |
6.4861024615461 |
L(r)(E,1)/r! |
Ω |
0.6354647980365 |
Real period |
R |
0.63792896964759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67680v1 22560q1 |
Quadratic twists by: -4 -3 |