Atkin-Lehner |
2- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45760by |
Isogeny class |
Conductor |
45760 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-11714560 = -1 · 214 · 5 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-163] |
[a1,a2,a3,a4,a6] |
Generators |
[424796:3925263:4913] |
Generators of the group modulo torsion |
j |
-1024/715 |
j-invariant |
L |
10.349792094166 |
L(r)(E,1)/r! |
Ω |
1.018473647474 |
Real period |
R |
10.162061747827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45760s1 11440a1 |
Quadratic twists by: -4 8 |