Atkin-Lehner |
2- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
20188a |
Isogeny class |
Conductor |
20188 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14868 |
Modular degree for the optimal curve |
Δ |
-9500392048 = -1 · 24 · 78 · 103 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 6 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114,-4675] |
[a1,a2,a3,a4,a6] |
Generators |
[2361:21707:27] |
Generators of the group modulo torsion |
j |
-1792/103 |
j-invariant |
L |
7.1512387304123 |
L(r)(E,1)/r! |
Ω |
0.56876127927032 |
Real period |
R |
4.1911190693729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80752k1 20188b1 |
Quadratic twists by: -4 -7 |