Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680fr |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
1120 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-3.4672645232064E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,67718373,2824901617354] |
[a1,a2,a3,a4,a6] |
Generators |
[-1297:1653750:1] |
Generators of the group modulo torsion |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
7.082556817529 |
L(r)(E,1)/r! |
Ω |
0.03413829548928 |
Real period |
R |
0.74095221806287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10710bi1 28560do1 |
Quadratic twists by: -4 -3 |