Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984bv |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.011607985291E+29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-229401552,-15360815435328] |
[a1,a2,a3,a4,a6] |
Generators |
[167399485891817959991434342463354708768286064167654693516021894:-39383201933499649949287422049627486888212901759844239966600845210:2662071548420868951373707335981672172159747225365472475039] |
Generators of the group modulo torsion |
j |
-2770540998624539614657/209924951154647363208 |
j-invariant |
L |
5.3345312258804 |
L(r)(E,1)/r! |
Ω |
0.014824943964422 |
Real period |
R |
89.958708084858 |
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 |
4998bm6 119952gs5 5712t6 |
Quadratic twists by: -4 -3 -7 |