Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cm |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
2.1785966991936E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3972201,3037547799] |
[a1,a2,a3,a4,a6] |
Generators |
[-1545:74088:1] |
Generators of the group modulo torsion |
j |
14383655824793536/45209390625 |
j-invariant |
L |
7.3954924903978 |
L(r)(E,1)/r! |
Ω |
0.21565049268297 |
Real period |
R |
1.7146940863396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040p2 23520bl1 6720m2 |
Quadratic twists by: -4 8 -7 |