Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kv |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
293642496000000 = 214 · 34 · 56 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26545,-1455025] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:300:1] |
Generators of the group modulo torsion |
j |
126260737702864/17922515625 |
j-invariant |
L |
10.885704829227 |
L(r)(E,1)/r! |
Ω |
0.37756119574041 |
Real period |
R |
1.2013179276523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029154 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240bu2 28560m2 |
Quadratic twists by: -4 8 |