Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13524l |
Isogeny class |
Conductor |
13524 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-54528768 = -1 · 28 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -3 0 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,75,279] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-42:1] |
Generators of the group modulo torsion |
j |
524288/621 |
j-invariant |
L |
3.9663912638137 |
L(r)(E,1)/r! |
Ω |
1.3294780994245 |
Real period |
R |
0.16574554353868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54096bs1 40572t1 13524f1 |
Quadratic twists by: -4 -3 -7 |