Atkin-Lehner |
2- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45292a |
Isogeny class |
Conductor |
45292 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
338688 |
Modular degree for the optimal curve |
Δ |
-62807454423071488 = -1 · 28 · 138 · 673 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 2 13+ 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-260936,52701636] |
[a1,a2,a3,a4,a6] |
Generators |
[884:22646:1] |
Generators of the group modulo torsion |
j |
-1590104383488/50828947 |
j-invariant |
L |
3.1165630277172 |
L(r)(E,1)/r! |
Ω |
0.34811473654893 |
Real period |
R |
0.49737161990215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3484a1 |
Quadratic twists by: 13 |