Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560k |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-422400000000 = -1 · 215 · 3 · 58 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,575,30625] |
[a1,a2,a3,a4,a6] |
Generators |
[0:175:1] |
Generators of the group modulo torsion |
j |
640503928/12890625 |
j-invariant |
L |
4.216505351837 |
L(r)(E,1)/r! |
Ω |
0.70502373603517 |
Real period |
R |
1.4951643243777 |
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 |
10560y4 5280f4 31680g3 52800co3 |
Quadratic twists by: -4 8 -3 5 |