Atkin-Lehner |
2- 3- 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190o |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-30343896000 = -1 · 26 · 36 · 53 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-680,10752] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:118:1] |
Generators of the group modulo torsion |
j |
-34776859950721/30343896000 |
j-invariant |
L |
8.1382456329557 |
L(r)(E,1)/r! |
Ω |
1.0749192150463 |
Real period |
R |
1.2618383346146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
113520be1 42570l1 70950a1 |
Quadratic twists by: -4 -3 5 |