Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
3150w |
Isogeny class |
Conductor |
3150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17222625000000 = 26 · 39 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10505,-360503] |
[a1,a2,a3,a4,a6] |
j |
416832723/56000 |
j-invariant |
L |
2.8546211881917 |
L(r)(E,1)/r! |
Ω |
0.47577019803195 |
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 |
25200cw3 100800d3 3150b1 630a3 |
Quadratic twists by: -4 8 -3 5 |