Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77400be |
Isogeny class |
Conductor |
77400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-125388000000 = -1 · 28 · 36 · 56 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -1 1 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,900,-13500] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1350:1] |
Generators of the group modulo torsion |
j |
27648/43 |
j-invariant |
L |
6.7070276217672 |
L(r)(E,1)/r! |
Ω |
0.55155256561427 |
Real period |
R |
1.5200336370536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8600a1 3096d1 |
Quadratic twists by: -3 5 |