Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
433527793090560000 = 218 · 33 · 54 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-236705,-31083297] |
[a1,a2,a3,a4,a6] |
Generators |
[-329:3360:1] |
Generators of the group modulo torsion |
j |
5595100866606889/1653777286875 |
j-invariant |
L |
9.2016274599563 |
L(r)(E,1)/r! |
Ω |
0.2213673937623 |
Real period |
R |
0.43299188810328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bo3 28560cn3 |
Quadratic twists by: -4 8 |