Atkin-Lehner |
2- 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280cl |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
52838400 = 214 · 3 · 52 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -6 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145,625] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] [-3:32:1] |
Generators of the group modulo torsion |
j |
20720464/3225 |
j-invariant |
L |
8.0260449226692 |
L(r)(E,1)/r! |
Ω |
1.9102882394189 |
Real period |
R |
2.1007418558761 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41280bl1 10320g1 123840fd1 |
Quadratic twists by: -4 8 -3 |