Atkin-Lehner |
2- 3- 37- 73- |
Signs for the Atkin-Lehner involutions |
Class |
48618i |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4787386844976 = 24 · 37 · 374 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-168449,-26567967] |
[a1,a2,a3,a4,a6] |
Generators |
[519:4800:1] |
Generators of the group modulo torsion |
j |
725101958462304457/6567060144 |
j-invariant |
L |
11.188133425105 |
L(r)(E,1)/r! |
Ω |
0.23565837726334 |
Real period |
R |
5.934508649256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206b4 |
Quadratic twists by: -3 |