Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150ca |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-14518719007031250 = -1 · 2 · 312 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,36333,5138991] |
[a1,a2,a3,a4,a6] |
Generators |
[33:2508:1] |
Generators of the group modulo torsion |
j |
465664585751/1274620050 |
j-invariant |
L |
4.3432264653122 |
L(r)(E,1)/r! |
Ω |
0.27727892064487 |
Real period |
R |
1.9579681960821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050dk2 16830cn2 |
Quadratic twists by: -3 5 |