Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
210b |
Isogeny class |
Conductor |
210 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-358766164249920 = -1 · 26 · 34 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20353,-1443724] |
[a1,a2,a3,a4,a6] |
j |
-932348627918877961/358766164249920 |
j-invariant |
L |
1.1766630746428 |
L(r)(E,1)/r! |
Ω |
0.19611051244047 |
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 |
1680m8 6720f8 630i8 1050k8 |
Quadratic twists by: -4 8 -3 5 |