Atkin-Lehner |
2- 3+ 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
4386l |
Isogeny class |
Conductor |
4386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
704 |
Modular degree for the optimal curve |
Δ |
-596496 = -1 · 24 · 3 · 172 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 3 -5 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-45,-141] |
[a1,a2,a3,a4,a6] |
Generators |
[9:12:1] |
Generators of the group modulo torsion |
j |
-10091699281/596496 |
j-invariant |
L |
4.8027169050928 |
L(r)(E,1)/r! |
Ω |
0.91839721500092 |
Real period |
R |
0.65368187460804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35088q1 13158j1 109650y1 74562bd1 |
Quadratic twists by: -4 -3 5 17 |