Atkin-Lehner |
2+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54910b |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
110880 |
Modular degree for the optimal curve |
Δ |
7327668336640 = 211 · 5 · 172 · 195 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -1 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4893,17917] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:410:1] [-3:182:1] |
Generators of the group modulo torsion |
j |
44842538961721/25355253760 |
j-invariant |
L |
4.8491685164257 |
L(r)(E,1)/r! |
Ω |
0.64064020126248 |
Real period |
R |
1.5138508344828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910p1 |
Quadratic twists by: 17 |