Atkin-Lehner |
2+ 3- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4002f |
Isogeny class |
Conductor |
4002 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
5563780852176 = 24 · 34 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 2 -6 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200195,34459886] |
[a1,a2,a3,a4,a6] |
Generators |
[252:46:1] |
Generators of the group modulo torsion |
j |
887320005345582835753/5563780852176 |
j-invariant |
L |
3.5133929378841 |
L(r)(E,1)/r! |
Ω |
0.67846860424996 |
Real period |
R |
0.43153469886399 |
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 |
32016m2 128064u2 12006n2 100050bl2 |
Quadratic twists by: -4 8 -3 5 |