Atkin-Lehner |
2- 3+ 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
14190k |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-66956820480 = -1 · 220 · 33 · 5 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,989,-3007] |
[a1,a2,a3,a4,a6] |
Generators |
[19:142:1] |
Generators of the group modulo torsion |
j |
106975701068111/66956820480 |
j-invariant |
L |
4.8621536738525 |
L(r)(E,1)/r! |
Ω |
0.63342409088745 |
Real period |
R |
1.535196953763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113520bm1 42570p1 70950o1 |
Quadratic twists by: -4 -3 5 |