Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7644a |
Isogeny class |
Conductor |
7644 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
436123585567488 = 28 · 3 · 76 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36668,2521128] |
[a1,a2,a3,a4,a6] |
Generators |
[-694:17963:8] |
Generators of the group modulo torsion |
j |
181037698000/14480427 |
j-invariant |
L |
3.569693872439 |
L(r)(E,1)/r! |
Ω |
0.51716050356325 |
Real period |
R |
6.9024874247814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576cl4 122304dz4 22932k4 156b4 |
Quadratic twists by: -4 8 -3 -7 |