Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560dc |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-21000936321576960 = -1 · 212 · 3 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34880,6494272] |
[a1,a2,a3,a4,a6] |
Generators |
[42:2834:1] |
Generators of the group modulo torsion |
j |
1145725929069119/5127181719135 |
j-invariant |
L |
5.5429183163167 |
L(r)(E,1)/r! |
Ω |
0.27442635452709 |
Real period |
R |
5.0495499292229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1785m6 114240jk5 85680ek5 |
Quadratic twists by: -4 8 -3 |