Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85800be |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5045554800 = -1 · 24 · 36 · 52 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-588,6273] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-33:1] |
Generators of the group modulo torsion |
j |
-56303330560/12613887 |
j-invariant |
L |
6.9943318807589 |
L(r)(E,1)/r! |
Ω |
1.3036576542692 |
Real period |
R |
0.14903222173462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004666 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800ck1 |
Quadratic twists by: 5 |