Atkin-Lehner |
2+ 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41616u |
Isogeny class |
Conductor |
41616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-1456227072 = -1 · 28 · 39 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 -2 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-255,2414] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:20:1] [-2:54:1] |
Generators of the group modulo torsion |
j |
-34000/27 |
j-invariant |
L |
8.4207003455457 |
L(r)(E,1)/r! |
Ω |
1.3888084305291 |
Real period |
R |
0.75790693666246 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20808i1 13872a1 41616bf1 |
Quadratic twists by: -4 -3 17 |