Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983j |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-65173329 = -1 · 36 · 132 · 232 |
Discriminant |
Eigenvalues |
1 3- 3 2 0 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,27,378] |
[a1,a2,a3,a4,a6] |
Generators |
[6:24:1] |
Generators of the group modulo torsion |
j |
17303/529 |
j-invariant |
L |
8.9258513590341 |
L(r)(E,1)/r! |
Ω |
1.4770255255547 |
Real period |
R |
1.5107815004892 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3887b1 34983n1 |
Quadratic twists by: -3 13 |