Atkin-Lehner |
2- 3+ 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cj |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-579993600000 = -1 · 220 · 3 · 55 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 6 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4545,125025] |
[a1,a2,a3,a4,a6] |
Generators |
[5:320:1] |
Generators of the group modulo torsion |
j |
-39616946929/2212500 |
j-invariant |
L |
8.0062303705773 |
L(r)(E,1)/r! |
Ω |
0.90700465648286 |
Real period |
R |
0.44135552741996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640bm1 14160z1 |
Quadratic twists by: -4 8 |