Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
53235k |
Isogeny class |
Conductor |
53235 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-1249322495012557875 = -1 · 36 · 53 · 75 · 138 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 3 13+ -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19773,53787503] |
[a1,a2,a3,a4,a6] |
j |
-1437696/2100875 |
j-invariant |
L |
3.513546557352 |
L(r)(E,1)/r! |
Ω |
0.21959665982769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5915i1 53235bn1 |
Quadratic twists by: -3 13 |