Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586q |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
101578176279172692 = 22 · 318 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-876123,-315051071] |
[a1,a2,a3,a4,a6] |
Generators |
[-547:818:1] [-525:323:1] |
Generators of the group modulo torsion |
j |
57588477431113/78653268 |
j-invariant |
L |
7.0151206165032 |
L(r)(E,1)/r! |
Ω |
0.15606081870804 |
Real period |
R |
5.6188996335314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862m4 666f4 |
Quadratic twists by: -3 -11 |