Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600g |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
134480000000 = 210 · 57 · 412 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1533,15437] |
[a1,a2,a3,a4,a6] |
Generators |
[3639:40400:27] |
Generators of the group modulo torsion |
j |
24918016/8405 |
j-invariant |
L |
9.3178407420332 |
L(r)(E,1)/r! |
Ω |
0.9555408429512 |
Real period |
R |
4.8756894122039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000238 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bn1 8200h1 13120f1 |
Quadratic twists by: -4 8 5 |