Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
58608ba |
Isogeny class |
Conductor |
58608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
11221810668288 = 28 · 37 · 114 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 11+ 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13575,-587054] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:72:1] |
Generators of the group modulo torsion |
j |
1482435250000/60130587 |
j-invariant |
L |
4.9174320998536 |
L(r)(E,1)/r! |
Ω |
0.44340418019604 |
Real period |
R |
2.7725449597651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14652f2 19536bf2 |
Quadratic twists by: -4 -3 |