Atkin-Lehner |
2- 11+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38896h |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
-34232361509632 = -1 · 28 · 115 · 132 · 173 |
Discriminant |
Eigenvalues |
2- -2 4 -3 11+ 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5941,-334113] |
[a1,a2,a3,a4,a6] |
Generators |
[403:7930:1] |
Generators of the group modulo torsion |
j |
-90601524035584/133720162147 |
j-invariant |
L |
4.2795934905477 |
L(r)(E,1)/r! |
Ω |
0.25824952722701 |
Real period |
R |
4.1428860843435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9724a1 |
Quadratic twists by: -4 |