Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
14420a |
Isogeny class |
Conductor |
14420 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-19784240 = -1 · 24 · 5 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 0 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-748,7877] |
[a1,a2,a3,a4,a6] |
j |
-2892734152704/1236515 |
j-invariant |
L |
4.261543653175 |
L(r)(E,1)/r! |
Ω |
2.1307718265875 |
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 |
57680p1 129780o1 72100d1 100940g1 |
Quadratic twists by: -4 -3 5 -7 |