Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
40800d |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
22307400000000 = 29 · 38 · 58 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-114008,14853012] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1782:1] |
Generators of the group modulo torsion |
j |
20485356001928/2788425 |
j-invariant |
L |
5.6923064785878 |
L(r)(E,1)/r! |
Ω |
0.65374915088209 |
Real period |
R |
2.1767930676873 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800y4 81600ie4 122400dt4 8160r3 |
Quadratic twists by: -4 8 -3 5 |