Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2498119335936000 = 221 · 34 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16725921,26323353279] |
[a1,a2,a3,a4,a6] |
Generators |
[2211:12480:1] |
Generators of the group modulo torsion |
j |
16778985534208729/81000 |
j-invariant |
L |
6.5307787744649 |
L(r)(E,1)/r! |
Ω |
0.30959331429136 |
Real period |
R |
2.6368377775743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ee7 1470d8 960e7 |
Quadratic twists by: -4 8 -7 |