Atkin-Lehner |
2- 5+ 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630m |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-15771140 = -1 · 22 · 5 · 73 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ 11+ 6 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12,187] |
[a1,a2,a3,a4,a6] |
j |
206425071/15771140 |
j-invariant |
L |
6.7446765147747 |
L(r)(E,1)/r! |
Ω |
1.6861691286937 |
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 |
117040bt1 73150i1 102410ck1 |
Quadratic twists by: -4 5 -7 |