Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040v |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
309915701760000 = 212 · 3 · 54 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16921,-14279] |
[a1,a2,a3,a4,a6] |
j |
3241792/1875 |
j-invariant |
L |
0.91677135360286 |
L(r)(E,1)/r! |
Ω |
0.45838567667883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ct2 23520ba1 47040ds2 |
Quadratic twists by: -4 8 -7 |