Atkin-Lehner |
2- 7+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
85904m |
Isogeny class |
Conductor |
85904 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32640 |
Modular degree for the optimal curve |
Δ |
206255504 = 24 · 75 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ -3 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-302,-1801] |
[a1,a2,a3,a4,a6] |
Generators |
[-285:269:27] |
Generators of the group modulo torsion |
j |
191012516608/12890969 |
j-invariant |
L |
5.2984952722367 |
L(r)(E,1)/r! |
Ω |
1.149785867133 |
Real period |
R |
4.6082452618482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21476f1 |
Quadratic twists by: -4 |