Atkin-Lehner |
2- 3- 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
9960f |
Isogeny class |
Conductor |
9960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
51426109440 = 211 · 36 · 5 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-960,3168] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
47825527682/25110405 |
j-invariant |
L |
5.7870807297004 |
L(r)(E,1)/r! |
Ω |
0.98757329675096 |
Real period |
R |
1.9532999892225 |
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 |
19920d2 79680a2 29880e2 49800a2 |
Quadratic twists by: -4 8 -3 5 |