Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700s |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-1453140000000 = -1 · 28 · 35 · 57 · 13 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -3 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3908,109188] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:150:1] [28:-150:1] |
Generators of the group modulo torsion |
j |
-1650587344/363285 |
j-invariant |
L |
11.454135957676 |
L(r)(E,1)/r! |
Ω |
0.81364668997582 |
Real period |
R |
0.23462550552373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17940b1 |
Quadratic twists by: 5 |