Atkin-Lehner |
2+ 3+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
85200d |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-35943750000000000 = -1 · 210 · 34 · 514 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9008,9130512] |
[a1,a2,a3,a4,a6] |
Generators |
[-178:2250:1] |
Generators of the group modulo torsion |
j |
-5052857764/2246484375 |
j-invariant |
L |
5.9307904542375 |
L(r)(E,1)/r! |
Ω |
0.29716442669215 |
Real period |
R |
2.4947427754476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002285 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42600h3 17040i4 |
Quadratic twists by: -4 5 |