Atkin-Lehner |
2- 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
75036c |
Isogeny class |
Conductor |
75036 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
9.5104256261995E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1221588,223830216] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2738:1] |
Generators of the group modulo torsion |
j |
163154201506000/76966169787 |
j-invariant |
L |
4.9469091912683 |
L(r)(E,1)/r! |
Ω |
0.16959488659597 |
Real period |
R |
2.4307480066617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5772b2 |
Quadratic twists by: 13 |