Atkin-Lehner |
2- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
10384c |
Isogeny class |
Conductor |
10384 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-29241344 = -1 · 212 · 112 · 59 |
Discriminant |
Eigenvalues |
2- -1 -1 -1 11+ -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-256] |
[a1,a2,a3,a4,a6] |
Generators |
[8:8:1] [10:22:1] |
Generators of the group modulo torsion |
j |
-117649/7139 |
j-invariant |
L |
4.8529695320684 |
L(r)(E,1)/r! |
Ω |
0.92168457216295 |
Real period |
R |
0.65816572158203 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
649a1 41536s1 93456bw1 114224i1 |
Quadratic twists by: -4 8 -3 -11 |