Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
40678s |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7959392570435174 = 2 · 114 · 437 |
Discriminant |
Eigenvalues |
2- 0 -2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-852736,-302845139] |
[a1,a2,a3,a4,a6] |
Generators |
[42997243115965748362004987083454:-973303044211973826959452803037101:32706637725842351971362997768] |
Generators of the group modulo torsion |
j |
10848165325353/1259126 |
j-invariant |
L |
7.090937078998 |
L(r)(E,1)/r! |
Ω |
0.15710824223355 |
Real period |
R |
45.134087035709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
946a3 |
Quadratic twists by: -43 |