Atkin-Lehner |
2- 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586u |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
245433606534851328 = 28 · 33 · 1110 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-461759,118513255] |
[a1,a2,a3,a4,a6] |
Generators |
[245:4354:1] |
Generators of the group modulo torsion |
j |
227640254228379/5131143424 |
j-invariant |
L |
12.483716529326 |
L(r)(E,1)/r! |
Ω |
0.31182595966875 |
Real period |
R |
1.2510701222527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001463 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80586a2 7326a2 |
Quadratic twists by: -3 -11 |