Atkin-Lehner |
2+ 3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190g |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-219267458847866880 = -1 · 217 · 312 · 5 · 114 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 5 11- 5 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-139997,30175101] |
[a1,a2,a3,a4,a6] |
j |
-303448326736684074841/219267458847866880 |
j-invariant |
L |
2.3207056424446 |
L(r)(E,1)/r! |
Ω |
0.29008820530558 |
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 |
113520bo1 42570u1 70950by1 |
Quadratic twists by: -4 -3 5 |