Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bz |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-14094839808 = -1 · 212 · 35 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -4 -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1045,-13859] |
[a1,a2,a3,a4,a6] |
Generators |
[44:153:1] |
Generators of the group modulo torsion |
j |
-629407744/70227 |
j-invariant |
L |
2.2709851641699 |
L(r)(E,1)/r! |
Ω |
0.41719048808121 |
Real period |
R |
2.7217604775918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999852 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499l1 119952ha1 39984cz1 |
Quadratic twists by: -4 -3 -7 |