Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230i |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
239205697218180 = 22 · 39 · 5 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114549,14932385] |
[a1,a2,a3,a4,a6] |
Generators |
[-296:4927:1] |
Generators of the group modulo torsion |
j |
4767078987/6860 |
j-invariant |
L |
4.7302205454473 |
L(r)(E,1)/r! |
Ω |
0.55557989524708 |
Real period |
R |
4.2570119857006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984887 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230ct1 630h3 |
Quadratic twists by: -3 -11 |