Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cd |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
512854917120 = 216 · 33 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2547,35506] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:96:1] |
Generators of the group modulo torsion |
j |
16522921323/4637360 |
j-invariant |
L |
6.1876603871848 |
L(r)(E,1)/r! |
Ω |
0.86481058292706 |
Real period |
R |
1.7887328478746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190e1 65520bs1 |
Quadratic twists by: -4 -3 |