Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112bo |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
16 |
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] |
Generators |
[87:536:1] |
Generators of the group modulo torsion |
j |
-128787625/153539148 |
j-invariant |
L |
4.9091289101243 |
L(r)(E,1)/r! |
Ω |
0.29147023066602 |
Real period |
R |
4.2106606533254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999645557 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112s2 24528u2 |
Quadratic twists by: -4 8 |