Atkin-Lehner |
2+ 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bb |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-569062195200000 = -1 · 225 · 34 · 55 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 1 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5121,1154655] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2304:1] |
Generators of the group modulo torsion |
j |
-56667352321/2170800000 |
j-invariant |
L |
7.6483955758404 |
L(r)(E,1)/r! |
Ω |
0.43068918960345 |
Real period |
R |
1.1099064825606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995893 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64320bp1 2010f1 |
Quadratic twists by: -4 8 |