Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075bl |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
3.083221354777E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16334501,-23965999477] |
[a1,a2,a3,a4,a6] |
Generators |
[-2643:28621:1] |
Generators of the group modulo torsion |
j |
30847591660149434963521/1973261667057305625 |
j-invariant |
L |
9.0308605080274 |
L(r)(E,1)/r! |
Ω |
0.075398355568959 |
Real period |
R |
2.4953187087681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994154 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015e3 |
Quadratic twists by: 5 |