Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416fi |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
3260694528 = 214 · 37 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3324,73712] |
[a1,a2,a3,a4,a6] |
j |
340062928/273 |
j-invariant |
L |
2.8090180277284 |
L(r)(E,1)/r! |
Ω |
1.4045090136675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416dc1 13104o1 17472bx1 |
Quadratic twists by: -4 8 -3 |