Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cj |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
613453824000 = 215 · 34 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2768,42432] |
[a1,a2,a3,a4,a6] |
Generators |
[8:144:1] |
Generators of the group modulo torsion |
j |
4582567781/1198152 |
j-invariant |
L |
6.2275759034664 |
L(r)(E,1)/r! |
Ω |
0.85542026095561 |
Real period |
R |
0.91001700972658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450bo2 51600dx2 |
Quadratic twists by: -4 5 |