Atkin-Lehner |
2+ 3+ 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63210p |
Isogeny class |
Conductor |
63210 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
281922769296000000 = 210 · 34 · 56 · 76 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 4 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-218222,-29872716] |
[a1,a2,a3,a4,a6] |
j |
9768641617435609/2396304000000 |
j-invariant |
L |
2.6981463406112 |
L(r)(E,1)/r! |
Ω |
0.22484552728404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1290e2 |
Quadratic twists by: -7 |