Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064r |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
-4404072960688896 = -1 · 28 · 313 · 115 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- -3 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36636,-1705804] |
[a1,a2,a3,a4,a6] |
Generators |
[124:-2178:1] |
Generators of the group modulo torsion |
j |
29139384194048/23598641979 |
j-invariant |
L |
4.3852982853548 |
L(r)(E,1)/r! |
Ω |
0.24203297838052 |
Real period |
R |
0.90592990977357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106128h1 17688a1 |
Quadratic twists by: -4 -3 |