Atkin-Lehner |
2+ 3- 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840q |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-277771161600 = -1 · 212 · 36 · 52 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,468,25056] |
[a1,a2,a3,a4,a6] |
Generators |
[12:180:1] |
Generators of the group modulo torsion |
j |
3796416/93025 |
j-invariant |
L |
7.654352467503 |
L(r)(E,1)/r! |
Ω |
0.73300802320982 |
Real period |
R |
1.3052982066163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87840bo2 9760f2 |
Quadratic twists by: -4 -3 |