Atkin-Lehner |
2+ 3+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
21360c |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
512640000 = 210 · 32 · 54 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-200,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
868327204/500625 |
j-invariant |
L |
5.037614118632 |
L(r)(E,1)/r! |
Ω |
1.3830109977034 |
Real period |
R |
0.45531218903876 |
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 |
10680e1 85440bl1 64080d1 106800r1 |
Quadratic twists by: -4 8 -3 5 |