Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
38976bg |
Isogeny class |
Conductor |
38976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1152023776985088 = -1 · 228 · 36 · 7 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12993,1733985] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:1512:1] |
Generators of the group modulo torsion |
j |
-925434168625/4394621952 |
j-invariant |
L |
5.0739122864525 |
L(r)(E,1)/r! |
Ω |
0.42383499688268 |
Real period |
R |
2.9928582607451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38976m1 9744u1 116928eo1 |
Quadratic twists by: -4 8 -3 |