Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8664l |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2973889822731264 = 210 · 32 · 199 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153184,-22977904] |
[a1,a2,a3,a4,a6] |
Generators |
[-154080:29204:729] |
Generators of the group modulo torsion |
j |
1203052/9 |
j-invariant |
L |
4.0071697590424 |
L(r)(E,1)/r! |
Ω |
0.24143033302323 |
Real period |
R |
8.2988117293795 |
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 |
17328c2 69312d2 25992e2 8664a2 |
Quadratic twists by: -4 8 -3 -19 |