Atkin-Lehner |
2+ 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bb |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-22809600 = -1 · 210 · 34 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11+ -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45,243] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-10061824/22275 |
j-invariant |
L |
5.341861824369 |
L(r)(E,1)/r! |
Ω |
1.8995145935454 |
Real period |
R |
0.70305617057653 |
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 |
10560bz1 1320g1 31680ba1 52800k1 |
Quadratic twists by: -4 8 -3 5 |