Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
11280i |
Isogeny class |
Conductor |
11280 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-233902080 = -1 · 212 · 35 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 -7 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-576,-5184] |
[a1,a2,a3,a4,a6] |
j |
-5168743489/57105 |
j-invariant |
L |
0.97374496198723 |
L(r)(E,1)/r! |
Ω |
0.48687248099361 |
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 |
705e1 45120ct1 33840cs1 56400cw1 |
Quadratic twists by: -4 8 -3 5 |