Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
60543g |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2567904038109081 = 310 · 72 · 316 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-34776,-526613] |
[a1,a2,a3,a4,a6] |
Generators |
[-9014902:2486591:50653] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
8.7035982399973 |
L(r)(E,1)/r! |
Ω |
0.37422790730928 |
Real period |
R |
11.628740227286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000226 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
20181d2 63a2 |
Quadratic twists by: -3 -31 |