Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560bl |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
285120 = 26 · 34 · 5 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-76,-230] |
[a1,a2,a3,a4,a6] |
Generators |
[11:12:1] [31:162:1] |
Generators of the group modulo torsion |
j |
768575296/4455 |
j-invariant |
L |
4.7427780961994 |
L(r)(E,1)/r! |
Ω |
1.6157441669551 |
Real period |
R |
5.8707042775687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560cf1 5280i2 31680ef1 52800gl1 |
Quadratic twists by: -4 8 -3 5 |