Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cc |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-532512000 = -1 · 28 · 32 · 53 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188,-1428] |
[a1,a2,a3,a4,a6] |
Generators |
[97:940:1] |
Generators of the group modulo torsion |
j |
-23086352/16641 |
j-invariant |
L |
4.8114956333101 |
L(r)(E,1)/r! |
Ω |
0.62461317605153 |
Real period |
R |
3.8515803202366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12900m2 51600ds2 |
Quadratic twists by: -4 5 |