Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640da |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-842630265483264000 = -1 · 215 · 320 · 53 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,235935,-2124225] |
[a1,a2,a3,a4,a6] |
Generators |
[90:4455:1] |
Generators of the group modulo torsion |
j |
44325031294506808/25715034957375 |
j-invariant |
L |
8.4257066585591 |
L(r)(E,1)/r! |
Ω |
0.16711513330777 |
Real period |
R |
1.6806191220372 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640ca3 28320a2 |
Quadratic twists by: -4 8 |