Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600ca |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-496000000 = -1 · 210 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,27000] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:229:1] |
Generators of the group modulo torsion |
j |
-33958656/31 |
j-invariant |
L |
6.4458057038057 |
L(r)(E,1)/r! |
Ω |
1.6456138712857 |
Real period |
R |
3.91696121204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600e1 12400t1 1984i1 |
Quadratic twists by: -4 8 5 |