Atkin-Lehner |
2- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998m |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17352 |
Modular degree for the optimal curve |
Δ |
-45412318 = -1 · 2 · 72 · 19 · 293 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-97,-465] |
[a1,a2,a3,a4,a6] |
j |
-2040039729/926782 |
j-invariant |
L |
2.2347544501366 |
L(r)(E,1)/r! |
Ω |
0.74491815063957 |
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 |
53998j1 |
Quadratic twists by: -7 |