Atkin-Lehner |
2- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600bm |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
4198400000000 = 218 · 58 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4033,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:125:1] [-27:300:1] |
Generators of the group modulo torsion |
j |
1771561/1025 |
j-invariant |
L |
7.7012431575985 |
L(r)(E,1)/r! |
Ω |
0.65929440271192 |
Real period |
R |
2.920259570652 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600e1 16400n1 13120v1 |
Quadratic twists by: -4 8 5 |