Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bj |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-2497035082752 = -1 · 210 · 32 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,-83868] |
[a1,a2,a3,a4,a6] |
Generators |
[258:4080:1] |
Generators of the group modulo torsion |
j |
-7086244/20727 |
j-invariant |
L |
12.268236560334 |
L(r)(E,1)/r! |
Ω |
0.33130011369543 |
Real period |
R |
4.6288229268873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55272w1 15792d1 |
Quadratic twists by: -4 -7 |