Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600f |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-4505600000000000 = -1 · 223 · 511 · 11 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15967,-3140063] |
[a1,a2,a3,a4,a6] |
Generators |
[287:5000:1] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
2.8455965823481 |
L(r)(E,1)/r! |
Ω |
0.21496243543623 |
Real period |
R |
1.6547057260106 |
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 |
17600cf1 550b1 3520b1 |
Quadratic twists by: -4 8 5 |