Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568bw |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-45410619072 = -1 · 26 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,282,9996] |
[a1,a2,a3,a4,a6] |
Generators |
[100:1014:1] |
Generators of the group modulo torsion |
j |
8000/147 |
j-invariant |
L |
6.2227026703691 |
L(r)(E,1)/r! |
Ω |
0.84736944922459 |
Real period |
R |
1.835888317576 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999684384 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568x1 672a1 |
Quadratic twists by: -4 13 |