Atkin-Lehner |
2- 3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21912i |
Isogeny class |
Conductor |
21912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
75727872 = 210 · 34 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,1664] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:48:1] |
Generators of the group modulo torsion |
j |
2379293284/73953 |
j-invariant |
L |
5.4667175983925 |
L(r)(E,1)/r! |
Ω |
1.926590953817 |
Real period |
R |
1.4187540919264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824c1 65736e1 |
Quadratic twists by: -4 -3 |