Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680ck |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
1596672 |
Modular degree for the optimal curve |
Δ |
-3.479654647952E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560576,-326752560] |
[a1,a2,a3,a4,a6] |
Generators |
[1192:26460:1] |
Generators of the group modulo torsion |
j |
-3300226225156/5894566425 |
j-invariant |
L |
6.5804424813695 |
L(r)(E,1)/r! |
Ω |
0.082314142624185 |
Real period |
R |
0.6056290619472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995184 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129360e1 64680bw1 |
Quadratic twists by: -4 -7 |