Atkin-Lehner |
2- 3- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
128592k |
Isogeny class |
Conductor |
128592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15264000 |
Modular degree for the optimal curve |
Δ |
-4205200280490344448 = -1 · 237 · 36 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 -4 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-79303107,-271821275710] |
[a1,a2,a3,a4,a6] |
j |
-18471699048587981865409/1408313065472 |
j-invariant |
L |
0.10118434727859 |
L(r)(E,1)/r! |
Ω |
0.025295717725574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16074d1 14288e1 |
Quadratic twists by: -4 -3 |