Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
18480df |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
60242434560000 = 212 · 34 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14000,512148] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1050:1] |
Generators of the group modulo torsion |
j |
74093292126001/14707625625 |
j-invariant |
L |
6.5606418852396 |
L(r)(E,1)/r! |
Ω |
0.59162935729552 |
Real period |
R |
1.3861385097652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1155e3 73920ew4 55440dr4 92400dk4 |
Quadratic twists by: -4 8 -3 5 |