Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bf |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
21785760000000 = 211 · 34 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8408,-196812] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:300:1] |
Generators of the group modulo torsion |
j |
2054487458/680805 |
j-invariant |
L |
7.7094663186055 |
L(r)(E,1)/r! |
Ω |
0.51181440193741 |
Real period |
R |
0.47071911525682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600j2 9840c2 |
Quadratic twists by: -4 5 |