Atkin-Lehner |
2+ 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14760a |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-11335680 = -1 · 211 · 33 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -4 0 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[6:6:1] |
Generators of the group modulo torsion |
j |
-54/205 |
j-invariant |
L |
3.5991845372371 |
L(r)(E,1)/r! |
Ω |
1.0294370796562 |
Real period |
R |
1.7481323571709 |
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 |
29520a1 118080m1 14760m1 73800bp1 |
Quadratic twists by: -4 8 -3 5 |