Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cr |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-2867602500000000 = -1 · 28 · 34 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3460,-2576388] |
[a1,a2,a3,a4,a6] |
Generators |
[629:15750:1] |
Generators of the group modulo torsion |
j |
17889018719024/11201572265625 |
j-invariant |
L |
4.7513410106492 |
L(r)(E,1)/r! |
Ω |
0.21134196907668 |
Real period |
R |
1.1240883747339 |
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 |
7140p2 114240if2 85680ea2 |
Quadratic twists by: -4 8 -3 |