Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150cz |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-11067029951076000 = -1 · 25 · 311 · 53 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 11+ 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101277,-13373019] |
[a1,a2,a3,a4,a6] |
Generators |
[9196161:29386392:24389] |
Generators of the group modulo torsion |
j |
-1260727040508389/121448888352 |
j-invariant |
L |
5.9439498995092 |
L(r)(E,1)/r! |
Ω |
0.13308277668331 |
Real period |
R |
11.165888724776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050ds2 84150gw2 |
Quadratic twists by: -3 5 |