Atkin-Lehner |
2- 3- 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600cr |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.8564532150272E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14969792,-25038846412] |
[a1,a2,a3,a4,a6] |
Generators |
[192870706:18701193216:24389] |
Generators of the group modulo torsion |
j |
9274937458784375/12141133037568 |
j-invariant |
L |
8.4766493394828 |
L(r)(E,1)/r! |
Ω |
0.049776786064242 |
Real period |
R |
10.643326427237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021466 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12450p2 99600cl2 |
Quadratic twists by: -4 5 |