Atkin-Lehner |
3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
4221a |
Isogeny class |
Conductor |
4221 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
341901 = 36 · 7 · 67 |
Discriminant |
Eigenvalues |
1 3- -1 7+ 0 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-105,-388] |
[a1,a2,a3,a4,a6] |
j |
176558481/469 |
j-invariant |
L |
1.4910007302375 |
L(r)(E,1)/r! |
Ω |
1.4910007302375 |
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 |
67536by1 469b1 105525be1 29547l1 |
Quadratic twists by: -4 -3 5 -7 |