Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560bt |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
246496770000 = 24 · 38 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24222,1450789] |
[a1,a2,a3,a4,a6] |
Generators |
[38:765:1] |
Generators of the group modulo torsion |
j |
134742996281344/21133125 |
j-invariant |
L |
6.5303952286679 |
L(r)(E,1)/r! |
Ω |
0.95429501936812 |
Real period |
R |
0.42769761279634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002562 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520g1 |
Quadratic twists by: -3 |