Atkin-Lehner |
2- 3- 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47970bk |
Isogeny class |
Conductor |
47970 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
5.3077690634414E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1572017,673196541] |
[a1,a2,a3,a4,a6] |
j |
589342335121981696969/72808903476562500 |
j-invariant |
L |
3.8500968707216 |
L(r)(E,1)/r! |
Ω |
0.19250484353831 |
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 |
15990b2 |
Quadratic twists by: -3 |