Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240kr |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
580243099484160 = 218 · 312 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1422625,652631135] |
[a1,a2,a3,a4,a6] |
Generators |
[698:441:1] |
Generators of the group modulo torsion |
j |
1214661886599131209/2213451765 |
j-invariant |
L |
9.2016274599563 |
L(r)(E,1)/r! |
Ω |
0.44273478752459 |
Real period |
R |
1.7319675524131 |
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 |
114240bo4 28560cn4 |
Quadratic twists by: -4 8 |