Atkin-Lehner |
2+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54910l |
Isogeny class |
Conductor |
54910 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
857968750 = 2 · 57 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5- 1 -5 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1159,15415] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:32:1] [11:-68:1] |
Generators of the group modulo torsion |
j |
596055826089/2968750 |
j-invariant |
L |
5.0685373036259 |
L(r)(E,1)/r! |
Ω |
1.5899850885801 |
Real period |
R |
0.45539845804961 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54910e1 |
Quadratic twists by: 17 |