Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080bg |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
8610383462400 = 216 · 310 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20667,1134826] |
[a1,a2,a3,a4,a6] |
Generators |
[45:544:1] |
Generators of the group modulo torsion |
j |
326940373369/2883600 |
j-invariant |
L |
7.156295434865 |
L(r)(E,1)/r! |
Ω |
0.73753374812671 |
Real period |
R |
2.4257518563939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8010k1 21360l1 |
Quadratic twists by: -4 -3 |