Atkin-Lehner |
3+ 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75075p |
Isogeny class |
Conductor |
75075 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
5.1199470564355E+28 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1560570000,21083264125875] |
[a1,a2,a3,a4,a6] |
j |
26900072359292240131786963201/3276766116118730000390625 |
j-invariant |
L |
0.41221632214892 |
L(r)(E,1)/r! |
Ω |
0.034351357484215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015t2 |
Quadratic twists by: 5 |