Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57222t |
Isogeny class |
Conductor |
57222 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.5369895760377E+29 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11- 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2882186361,-42453212240403] |
[a1,a2,a3,a4,a6] |
Generators |
[-16368238715773245275066281546404045185669204723:-2420964152677178040914509849207585055911134957676:713684961090385068187973806355448177447781] |
Generators of the group modulo torsion |
j |
150476552140919246594353/42832838728685592576 |
j-invariant |
L |
6.3169019078877 |
L(r)(E,1)/r! |
Ω |
0.021050756605647 |
Real period |
R |
75.019891520844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19074bb2 3366b2 |
Quadratic twists by: -3 17 |