Atkin-Lehner |
2+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
64538b |
Isogeny class |
Conductor |
64538 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2.5324115879051E+19 |
Discriminant |
Eigenvalues |
2+ -2 -3 1 0 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,440910,-214258108] |
[a1,a2,a3,a4,a6] |
Generators |
[596:15836:1] [5550:162269:8] |
Generators of the group modulo torsion |
j |
64033605880343/171067408384 |
j-invariant |
L |
4.7929913208366 |
L(r)(E,1)/r! |
Ω |
0.10919070618934 |
Real period |
R |
10.973899446416 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806c2 |
Quadratic twists by: -23 |