Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480df |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
52039680 = 212 · 3 · 5 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4240,-107692] |
[a1,a2,a3,a4,a6] |
Generators |
[2046:2944:27] |
Generators of the group modulo torsion |
j |
2058561081361/12705 |
j-invariant |
L |
6.5606418852396 |
L(r)(E,1)/r! |
Ω |
0.59162935729552 |
Real period |
R |
5.5445540390608 |
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 |
1155e1 73920ew1 55440dr1 92400dk1 |
Quadratic twists by: -4 8 -3 5 |