Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
109800x |
Isogeny class |
Conductor |
109800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
1423008000 = 28 · 36 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 -4 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-855,9450] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:90:1] |
Generators of the group modulo torsion |
j |
2963088/61 |
j-invariant |
L |
5.9773576105526 |
L(r)(E,1)/r! |
Ω |
1.5160132958615 |
Real period |
R |
1.971406739218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999232799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12200k1 109800cb1 |
Quadratic twists by: -3 5 |