Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
112464bo |
Isogeny class |
Conductor |
112464 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.4051635718701E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2576379,-1230371030] |
[a1,a2,a3,a4,a6] |
Generators |
[-29528933220:-27031244179:54872000] |
Generators of the group modulo torsion |
j |
633381665312003257/147528036716544 |
j-invariant |
L |
8.2027339999789 |
L(r)(E,1)/r! |
Ω |
0.12116683152069 |
Real period |
R |
16.924462449681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047672 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14058f2 37488y2 |
Quadratic twists by: -4 -3 |