Atkin-Lehner |
2- 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
13356h |
Isogeny class |
Conductor |
13356 |
Conductor |
∏ cp |
108 |
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 |
[20:378:1] |
Generators of the group modulo torsion |
j |
766580031488/459583299 |
j-invariant |
L |
3.6000900201303 |
L(r)(E,1)/r! |
Ω |
0.35308718585197 |
Real period |
R |
0.84966975211413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
53424bg2 4452e2 93492bb2 |
Quadratic twists by: -4 -3 -7 |