Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bk |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-171999313920 = -1 · 214 · 34 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1224,-11664] |
[a1,a2,a3,a4,a6] |
Generators |
[18:126:1] |
Generators of the group modulo torsion |
j |
49471280711/41992020 |
j-invariant |
L |
4.4936977587058 |
L(r)(E,1)/r! |
Ω |
0.56125516844339 |
Real period |
R |
2.0016286759415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830k2 115920eb2 |
Quadratic twists by: -4 -3 |