Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
75200cx |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.671875E+20 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 3 -7 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3151633,1947261137] |
[a1,a2,a3,a4,a6] |
Generators |
[731:5788:1] |
Generators of the group modulo torsion |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
4.2256838917435 |
L(r)(E,1)/r! |
Ω |
0.16462765338933 |
Real period |
R |
6.4170323221804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200b2 18800z2 15040be2 |
Quadratic twists by: -4 8 5 |