Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ki |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-68544000000 = -1 · 212 · 32 · 56 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,135,-12537] |
[a1,a2,a3,a4,a6] |
Generators |
[51:360:1] |
Generators of the group modulo torsion |
j |
65939264/16734375 |
j-invariant |
L |
7.9162675822554 |
L(r)(E,1)/r! |
Ω |
0.51634413766383 |
Real period |
R |
1.2776148931007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000074935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hr2 57120b1 |
Quadratic twists by: -4 8 |