Atkin-Lehner |
7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
2093a |
Isogeny class |
Conductor |
2093 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7440 |
Modular degree for the optimal curve |
Δ |
-221358574619 = -1 · 72 · 135 · 233 |
Discriminant |
Eigenvalues |
-2 3 3 7+ 3 13+ 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1531,-32312] |
[a1,a2,a3,a4,a6] |
j |
-396870925750272/221358574619 |
j-invariant |
L |
2.2319067846602 |
L(r)(E,1)/r! |
Ω |
0.37198446411004 |
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 |
33488y1 18837c1 52325n1 14651n1 |
Quadratic twists by: -4 -3 5 -7 |