Atkin-Lehner |
2- 3+ 7- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
39606k |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
271173110517792 = 25 · 34 · 76 · 232 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7312603,7608205193] |
[a1,a2,a3,a4,a6] |
Generators |
[1559:-654:1] |
Generators of the group modulo torsion |
j |
43245378712584156245208625/271173110517792 |
j-invariant |
L |
8.1315658366636 |
L(r)(E,1)/r! |
Ω |
0.37691186893439 |
Real period |
R |
0.35956972557242 |
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 |
118818u2 |
Quadratic twists by: -3 |