Atkin-Lehner |
2+ 3+ 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
80712a |
Isogeny class |
Conductor |
80712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1828611072 = 210 · 33 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 0 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1275,-17402] |
[a1,a2,a3,a4,a6] |
Generators |
[42:56:1] |
Generators of the group modulo torsion |
j |
8290687500/66139 |
j-invariant |
L |
6.6129435685616 |
L(r)(E,1)/r! |
Ω |
0.79933888694775 |
Real period |
R |
4.1365081039635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000184 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80712i2 |
Quadratic twists by: -3 |