Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bq |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
-5.9419640035625E+24 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5721494,-117396584283] |
[a1,a2,a3,a4,a6] |
Generators |
[38417:7488123:1] |
Generators of the group modulo torsion |
j |
-32015057794777/9184009519104 |
j-invariant |
L |
8.789721952844 |
L(r)(E,1)/r! |
Ω |
0.033862995515708 |
Real period |
R |
0.77252133880368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050734 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40362j2 3906w2 |
Quadratic twists by: -3 -31 |