Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112p |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-25116672 = -1 · 214 · 3 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 2 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,-561] |
[a1,a2,a3,a4,a6] |
j |
-9826000/1533 |
j-invariant |
L |
2.9015190418751 |
L(r)(E,1)/r! |
Ω |
0.72537980075494 |
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 |
98112bk1 6132a1 |
Quadratic twists by: -4 8 |