Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560a |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-651891890073600 = -1 · 212 · 314 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7481,-1250919] |
[a1,a2,a3,a4,a6] |
Generators |
[6976:582565:1] |
Generators of the group modulo torsion |
j |
-11305786504384/159153293475 |
j-invariant |
L |
3.5279677343058 |
L(r)(E,1)/r! |
Ω |
0.21897222635426 |
Real period |
R |
8.0557424862598 |
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 |
10560u2 5280q1 31680bs2 52800cb2 |
Quadratic twists by: -4 8 -3 5 |