Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14190p |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
924 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-606877920000000 = -1 · 211 · 36 · 57 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14485,978225] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:835:1] |
Generators of the group modulo torsion |
j |
336106829245202639/606877920000000 |
j-invariant |
L |
8.8365439144481 |
L(r)(E,1)/r! |
Ω |
0.35360160154825 |
Real period |
R |
0.0270455766402 |
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 |
113520bb1 42570d1 70950i1 |
Quadratic twists by: -4 -3 5 |