Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150y |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1738983935437476750 = 2 · 39 · 53 · 114 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-21069222,-37218492514] |
[a1,a2,a3,a4,a6] |
Generators |
[73253:19749508:1] |
Generators of the group modulo torsion |
j |
420405041843139510639/706796295458 |
j-invariant |
L |
5.3210053872813 |
L(r)(E,1)/r! |
Ω |
0.070467274230419 |
Real period |
R |
9.4387881582406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150en2 84150eo2 |
Quadratic twists by: -3 5 |