Atkin-Lehner |
2+ 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424g |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
44865902592 = 211 · 310 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142491,-20702806] |
[a1,a2,a3,a4,a6] |
Generators |
[511:6318:1] |
Generators of the group modulo torsion |
j |
214303140064946/30051 |
j-invariant |
L |
3.6379543046618 |
L(r)(E,1)/r! |
Ω |
0.24572689884358 |
Real period |
R |
3.7012170032596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26712p4 17808b4 |
Quadratic twists by: -4 -3 |