Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16450d |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5510107421875000 = -1 · 23 · 514 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,34183,2606341] |
[a1,a2,a3,a4,a6] |
j |
282700817634591/352646875000 |
j-invariant |
L |
1.1491372231262 |
L(r)(E,1)/r! |
Ω |
0.28728430578154 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3290f4 115150n3 |
Quadratic twists by: 5 -7 |