Atkin-Lehner |
2- 7+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8554l |
Isogeny class |
Conductor |
8554 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-58301874176 = -1 · 220 · 7 · 132 · 47 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ -3 13+ -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4382,110427] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:487:1] [-15:423:1] |
Generators of the group modulo torsion |
j |
-9305656686742753/58301874176 |
j-invariant |
L |
5.9002922165548 |
L(r)(E,1)/r! |
Ω |
1.1188751634908 |
Real period |
R |
0.13183535592442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432r1 76986i1 59878x1 111202l1 |
Quadratic twists by: -4 -3 -7 13 |