Atkin-Lehner |
2+ 3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
69264l |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
518130183168 = 210 · 37 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2019,-4462] |
[a1,a2,a3,a4,a6] |
Generators |
[59:286:1] |
Generators of the group modulo torsion |
j |
1219284868/694083 |
j-invariant |
L |
7.3748257510431 |
L(r)(E,1)/r! |
Ω |
0.76995693330977 |
Real period |
R |
2.3945578742806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34632f2 23088e2 |
Quadratic twists by: -4 -3 |