Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224s |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-2774532096 = -1 · 221 · 33 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5964,-177296] |
[a1,a2,a3,a4,a6] |
j |
-67645179/8 |
j-invariant |
L |
2.173061691907 |
L(r)(E,1)/r! |
Ω |
0.27163271148849 |
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 |
28224ec1 882b1 28224r2 28224e1 |
Quadratic twists by: -4 8 -3 -7 |