Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1872k |
Isogeny class |
Conductor |
1872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74760192 = 214 · 33 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 4 13+ 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1011,-12366] |
[a1,a2,a3,a4,a6] |
j |
1033364331/676 |
j-invariant |
L |
1.6933971119426 |
L(r)(E,1)/r! |
Ω |
0.84669855597132 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
234c2 7488bg2 1872j2 46800cl2 |
Quadratic twists by: -4 8 -3 5 |