Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64220i |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1774080 |
Modular degree for the optimal curve |
Δ |
-2.1281904679189E+20 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -6 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161057,702321581] |
[a1,a2,a3,a4,a6] |
Generators |
[-11076:714025:27] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
6.0073108731217 |
L(r)(E,1)/r! |
Ω |
0.14405419397511 |
Real period |
R |
1.3031794465276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940b1 |
Quadratic twists by: 13 |