Atkin-Lehner |
2+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
49600d |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
307520000000 = 212 · 57 · 312 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1700,4000] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:176:1] |
Generators of the group modulo torsion |
j |
8489664/4805 |
j-invariant |
L |
5.4684122985846 |
L(r)(E,1)/r! |
Ω |
0.83405551127107 |
Real period |
R |
3.2782064411027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49600s2 24800a1 9920b2 |
Quadratic twists by: -4 8 5 |