Atkin-Lehner |
2+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
30016t |
Isogeny class |
Conductor |
30016 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
491782144 = 220 · 7 · 67 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22489537,-41043045439] |
[a1,a2,a3,a4,a6] |
j |
4798719371068773390577/1876 |
j-invariant |
L |
1.2478917959587 |
L(r)(E,1)/r! |
Ω |
0.069327321997831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30016bn3 938d3 |
Quadratic twists by: -4 8 |