Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259l |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2534914160794663659 = -1 · 318 · 11 · 296 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,329094,-24322653] |
[a1,a2,a3,a4,a6] |
Generators |
[148672470777885226770730:-12809847424171051811915221:20382883445341747000] |
Generators of the group modulo torsion |
j |
9090072503/5845851 |
j-invariant |
L |
10.359239714603 |
L(r)(E,1)/r! |
Ω |
0.14712779130366 |
Real period |
R |
35.204904596419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001882 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27753d3 99b4 |
Quadratic twists by: -3 29 |