Atkin-Lehner |
2- 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10824i |
Isogeny class |
Conductor |
10824 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-9351936 = -1 · 28 · 34 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11+ -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] [0:12:1] |
Generators of the group modulo torsion |
j |
-810448/36531 |
j-invariant |
L |
5.862483871308 |
L(r)(E,1)/r! |
Ω |
1.9134642417361 |
Real period |
R |
0.19148789612306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21648h1 86592x1 32472h1 119064i1 |
Quadratic twists by: -4 8 -3 -11 |