Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56400de |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
70170624000 = 214 · 36 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80168,8710068] |
[a1,a2,a3,a4,a6] |
Generators |
[148:330:1] |
Generators of the group modulo torsion |
j |
111291581974301/137052 |
j-invariant |
L |
8.0584444937078 |
L(r)(E,1)/r! |
Ω |
0.92638551652676 |
Real period |
R |
1.4498003890471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7050a2 56400by2 |
Quadratic twists by: -4 5 |