Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8800b |
Isogeny class |
Conductor |
8800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-440000000 = -1 · 29 · 57 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11+ 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,1012] |
[a1,a2,a3,a4,a6] |
Generators |
[12:50:1] |
Generators of the group modulo torsion |
j |
-8/55 |
j-invariant |
L |
3.7906649086693 |
L(r)(E,1)/r! |
Ω |
1.3394691457833 |
Real period |
R |
0.70749388304358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8800e1 17600ce1 79200ed1 1760k1 |
Quadratic twists by: -4 8 -3 5 |