Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
74592f |
Isogeny class |
Conductor |
74592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
45666716626944 = 212 · 316 · 7 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9516,-148160] |
[a1,a2,a3,a4,a6] |
j |
31915344448/15293691 |
j-invariant |
L |
2.0275716803578 |
L(r)(E,1)/r! |
Ω |
0.50689292523669 |
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 |
74592o2 24864u2 |
Quadratic twists by: -4 -3 |