Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.0667526552536E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1160385,-454345023] |
[a1,a2,a3,a4,a6] |
Generators |
[1967:69784:1] |
Generators of the group modulo torsion |
j |
5602762882081/345888060 |
j-invariant |
L |
4.1838653021908 |
L(r)(E,1)/r! |
Ω |
0.14602409062115 |
Real period |
R |
7.1629709940182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040hc3 1470p3 6720u4 |
Quadratic twists by: -4 8 -7 |