Atkin-Lehner |
2+ 3- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64974r |
Isogeny class |
Conductor |
64974 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-19968329472 = -1 · 28 · 3 · 76 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,415,-5932] |
[a1,a2,a3,a4,a6] |
Generators |
[3972:46633:27] |
Generators of the group modulo torsion |
j |
67419143/169728 |
j-invariant |
L |
6.6817554888604 |
L(r)(E,1)/r! |
Ω |
0.62787556025095 |
Real period |
R |
5.3209233741496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999502 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1326b1 |
Quadratic twists by: -7 |