Atkin-Lehner |
2- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
14630p |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-46476584000 = -1 · 26 · 53 · 7 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 11+ 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-103446,12797540] |
[a1,a2,a3,a4,a6] |
j |
-122423581669793912929/46476584000 |
j-invariant |
L |
3.6761811369993 |
L(r)(E,1)/r! |
Ω |
0.91904528424982 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
117040be1 73150b1 102410cd1 |
Quadratic twists by: -4 5 -7 |