Atkin-Lehner |
2- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34814q |
Isogeny class |
Conductor |
34814 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
3144960 |
Modular degree for the optimal curve |
Δ |
-9.5290725841618E+20 |
Discriminant |
Eigenvalues |
2- 2 0 0 2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77990208,-265135743007] |
[a1,a2,a3,a4,a6] |
Generators |
[8284764579333:-28441078132243:812166237] |
Generators of the group modulo torsion |
j |
-10868855989257959199625/197419715264512 |
j-invariant |
L |
12.857292201273 |
L(r)(E,1)/r! |
Ω |
0.025401482620439 |
Real period |
R |
19.467810044781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2678f1 |
Quadratic twists by: 13 |