Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67320bl |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.5853587036861E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1445547,283758086] |
[a1,a2,a3,a4,a6] |
Generators |
[12770:361647:8] |
Generators of the group modulo torsion |
j |
223749916389606098/106186684435425 |
j-invariant |
L |
7.9012242547863 |
L(r)(E,1)/r! |
Ω |
0.16240049285086 |
Real period |
R |
6.0815888822422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440d2 |
Quadratic twists by: -3 |