Atkin-Lehner |
2+ 3- 5- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
63960g |
Isogeny class |
Conductor |
63960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1541143736570880 = 210 · 32 · 5 · 138 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48880,-3722320] |
[a1,a2,a3,a4,a6] |
Generators |
[2543:127764:1] |
Generators of the group modulo torsion |
j |
12613227589010884/1505023180245 |
j-invariant |
L |
9.0411284573902 |
L(r)(E,1)/r! |
Ω |
0.32358692821084 |
Real period |
R |
3.4925423701455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127920m4 |
Quadratic twists by: -4 |