Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cx |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-14388300000000 = -1 · 28 · 33 · 58 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 -4 -5 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4667,-133537] |
[a1,a2,a3,a4,a6] |
Generators |
[47:438:1] |
Generators of the group modulo torsion |
j |
112394240/143883 |
j-invariant |
L |
4.5831088565601 |
L(r)(E,1)/r! |
Ω |
0.37583943457033 |
Real period |
R |
1.0161938927399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21900e1 87600bj1 |
Quadratic twists by: -4 5 |