Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
20640x |
Isogeny class |
Conductor |
20640 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-17253388800 = -1 · 29 · 36 · 52 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,6300] |
[a1,a2,a3,a4,a6] |
Generators |
[15:90:1] |
Generators of the group modulo torsion |
j |
-376367048/33698025 |
j-invariant |
L |
7.3453068742504 |
L(r)(E,1)/r! |
Ω |
1.0135168982375 |
Real period |
R |
1.2078908743446 |
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 |
20640d2 41280c2 61920p2 103200a2 |
Quadratic twists by: -4 8 -3 5 |