Atkin-Lehner |
3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34983l |
Isogeny class |
Conductor |
34983 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1392743430994E+21 |
Discriminant |
Eigenvalues |
-1 3- 2 4 -4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-478882319,-4033465342162] |
[a1,a2,a3,a4,a6] |
Generators |
[9829685200170:-1750968036598852:221445125] |
Generators of the group modulo torsion |
j |
3451616026781746657393/892157700681 |
j-invariant |
L |
4.7373932528942 |
L(r)(E,1)/r! |
Ω |
0.032273224633739 |
Real period |
R |
18.348775597488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11661j2 2691e2 |
Quadratic twists by: -3 13 |