Atkin-Lehner |
2+ 3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486a |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3328 |
Modular degree for the optimal curve |
Δ |
7098624 = 28 · 33 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:12:1] |
Generators of the group modulo torsion |
j |
458314011/262912 |
j-invariant |
L |
3.0524090730572 |
L(r)(E,1)/r! |
Ω |
1.9669932722253 |
Real period |
R |
1.5518146991951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18486o1 |
Quadratic twists by: -3 |