Atkin-Lehner |
2- 3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490ca |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
5.6674194355754E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-89277735,322621683165] |
[a1,a2,a3,a4,a6] |
Generators |
[-3917:784418:1] |
Generators of the group modulo torsion |
j |
44421896119170051148681/319911052206240000 |
j-invariant |
L |
10.343908963234 |
L(r)(E,1)/r! |
Ω |
0.092559429215265 |
Real period |
R |
1.7461600486704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007864 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7590h2 |
Quadratic twists by: -11 |