Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
53724k |
Isogeny class |
Conductor |
53724 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-294192624 = -1 · 24 · 3 · 112 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 1 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-634,5993] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:111:1] |
Generators of the group modulo torsion |
j |
-14580451072/151959 |
j-invariant |
L |
9.9226874220497 |
L(r)(E,1)/r! |
Ω |
1.736942027723 |
Real period |
R |
0.63474819946303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53724l2 |
Quadratic twists by: -11 |