Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280do |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-65946286080000 = -1 · 214 · 34 · 54 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -3 -3 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2885,394275] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:645:1] |
Generators of the group modulo torsion |
j |
-162140591104/4025041875 |
j-invariant |
L |
7.870782255331 |
L(r)(E,1)/r! |
Ω |
0.51900858086854 |
Real period |
R |
0.31593818746687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41280q1 10320b1 123840fg1 |
Quadratic twists by: -4 8 -3 |