Atkin-Lehner |
2- 3- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
53424bg |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-85769273592576 = -1 · 28 · 38 · 73 · 533 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10896,83036] |
[a1,a2,a3,a4,a6] |
Generators |
[58:-954:1] [34:702:1] |
Generators of the group modulo torsion |
j |
766580031488/459583299 |
j-invariant |
L |
8.4602102819901 |
L(r)(E,1)/r! |
Ω |
0.37102117769495 |
Real period |
R |
0.95010415292076 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13356h2 17808n2 |
Quadratic twists by: -4 -3 |