Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424g |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
924736103424 = 210 · 38 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8931,-321550] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:54:1] |
Generators of the group modulo torsion |
j |
105534995332/1238769 |
j-invariant |
L |
3.6379543046618 |
L(r)(E,1)/r! |
Ω |
0.49145379768716 |
Real period |
R |
1.8506085016298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26712p2 17808b2 |
Quadratic twists by: -4 -3 |