Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
121200cy |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-63301693440000000 = -1 · 218 · 3 · 57 · 1013 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27008,12215988] |
[a1,a2,a3,a4,a6] |
Generators |
[4206:92800:27] |
Generators of the group modulo torsion |
j |
-34043726521/989088960 |
j-invariant |
L |
9.5775935943211 |
L(r)(E,1)/r! |
Ω |
0.29209065681318 |
Real period |
R |
4.0987247213089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15150t2 24240z2 |
Quadratic twists by: -4 5 |