Atkin-Lehner |
3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83259l |
Isogeny class |
Conductor |
83259 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38249733564802881 = 312 · 112 · 296 |
Discriminant |
Eigenvalues |
1 3- 2 4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87201,-3091608] |
[a1,a2,a3,a4,a6] |
Generators |
[3515721161856:-28616969033643:10303307776] |
Generators of the group modulo torsion |
j |
169112377/88209 |
j-invariant |
L |
10.359239714603 |
L(r)(E,1)/r! |
Ω |
0.29425558260731 |
Real period |
R |
17.602452298209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001882 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27753d2 99b2 |
Quadratic twists by: -3 29 |