Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112s |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-40249366413312 = -1 · 220 · 3 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-673,305087] |
[a1,a2,a3,a4,a6] |
j |
-128787625/153539148 |
j-invariant |
L |
4.1635989727355 |
L(r)(E,1)/r! |
Ω |
0.52044988108703 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112bo2 3066b2 |
Quadratic twists by: -4 8 |