Atkin-Lehner |
2- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
5530j |
Isogeny class |
Conductor |
5530 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-1855560089600 = -1 · 227 · 52 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-256,65536] |
[a1,a2,a3,a4,a6] |
j |
-1855878893569/1855560089600 |
j-invariant |
L |
4.0390561639536 |
L(r)(E,1)/r! |
Ω |
0.6731760273256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44240j1 49770ba1 27650b1 38710bk1 |
Quadratic twists by: -4 -3 5 -7 |