Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040dm |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
11107378751078400 = 219 · 3 · 52 · 710 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6023628865,179941184998175] |
[a1,a2,a3,a4,a6] |
j |
783736670177727068275201/360150 |
j-invariant |
L |
3.6852363950408 |
L(r)(E,1)/r! |
Ω |
0.11516363734468 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040fl8 1470k7 6720c7 |
Quadratic twists by: -4 8 -7 |