Atkin-Lehner |
2+ 5+ 17- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
53720a |
Isogeny class |
Conductor |
53720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21440 |
Modular degree for the optimal curve |
Δ |
-1074400000 = -1 · 28 · 55 · 17 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,199,1085] |
[a1,a2,a3,a4,a6] |
j |
3387339776/4196875 |
j-invariant |
L |
4.1621952690052 |
L(r)(E,1)/r! |
Ω |
1.0405488173041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107440f1 |
Quadratic twists by: -4 |