Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kv |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
17136000000000000 = 216 · 32 · 512 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112225,12990623] |
[a1,a2,a3,a4,a6] |
Generators |
[266:1425:1] |
Generators of the group modulo torsion |
j |
2385154376795236/261474609375 |
j-invariant |
L |
10.885704829227 |
L(r)(E,1)/r! |
Ω |
0.37756119574041 |
Real period |
R |
2.4026358553046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029154 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bu4 28560m4 |
Quadratic twists by: -4 8 |