Atkin-Lehner |
2+ 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040b |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22044960000 = 28 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-783,-4482] |
[a1,a2,a3,a4,a6] |
j |
10536048/4375 |
j-invariant |
L |
1.8725701729743 |
L(r)(E,1)/r! |
Ω |
0.93628508648714 |
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 |
2520a2 20160dj2 5040g2 25200a2 |
Quadratic twists by: -4 8 -3 5 |