Atkin-Lehner |
2- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
57232d |
Isogeny class |
Conductor |
57232 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.9263835339054E+22 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 0 -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11446024,-16328646928] |
[a1,a2,a3,a4,a6] |
Generators |
[957147746780:138116160118784:44738875] |
Generators of the group modulo torsion |
j |
-7023335883673417/815827779584 |
j-invariant |
L |
6.8099837220912 |
L(r)(E,1)/r! |
Ω |
0.040773672317945 |
Real period |
R |
13.918261742096 |
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 |
7154c2 57232k2 |
Quadratic twists by: -4 -7 |