Atkin-Lehner |
2+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
75200b |
Isogeny class |
Conductor |
75200 |
Conductor |
∏ cp |
8 |
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 |
[58701:1039400:27] |
Generators of the group modulo torsion |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
6.6310017859306 |
L(r)(E,1)/r! |
Ω |
0.11408701102023 |
Real period |
R |
7.2652900237323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002879 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75200cx2 4700a2 15040s2 |
Quadratic twists by: -4 8 5 |