Atkin-Lehner |
2- 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560dz |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
Δ |
6500315729599856640 = 216 · 35 · 5 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 0 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1563640,-743038252] |
[a1,a2,a3,a4,a6] |
Generators |
[-772:2142:1] |
Generators of the group modulo torsion |
j |
103222496159832099961/1586991144921840 |
j-invariant |
L |
7.6323148055885 |
L(r)(E,1)/r! |
Ω |
0.13513564484649 |
Real period |
R |
1.1295783306112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570d2 114240fu2 85680en2 |
Quadratic twists by: -4 8 -3 |