Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19264n |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-483295232 = -1 · 215 · 73 · 43 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 1 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,1823] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:56:1] |
Generators of the group modulo torsion |
j |
-57512456/14749 |
j-invariant |
L |
7.0468453967758 |
L(r)(E,1)/r! |
Ω |
1.5788243874775 |
Real period |
R |
0.37194581047498 |
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 |
19264f1 9632g1 |
Quadratic twists by: -4 8 |