Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
21216p |
Isogeny class |
Conductor |
21216 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5003241984 = 29 · 32 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1344,18216] |
[a1,a2,a3,a4,a6] |
Generators |
[202:255:8] |
Generators of the group modulo torsion |
j |
524776831496/9771957 |
j-invariant |
L |
6.0013089051787 |
L(r)(E,1)/r! |
Ω |
1.3664719347334 |
Real period |
R |
4.3918274152845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21216l3 42432bm3 63648l3 |
Quadratic twists by: -4 8 -3 |