Atkin-Lehner |
2+ 3- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
19458b |
Isogeny class |
Conductor |
19458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-30443253311232 = -1 · 28 · 314 · 232 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,774,265140] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:510:1] |
Generators of the group modulo torsion |
j |
70291596383/41760292608 |
j-invariant |
L |
4.404481606064 |
L(r)(E,1)/r! |
Ω |
0.51464477558802 |
Real period |
R |
2.1395736510837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6486p1 |
Quadratic twists by: -3 |