Atkin-Lehner |
2+ 5- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89570k |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
129909039101562500 = 22 · 510 · 137 · 53 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 -6 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354509,-79282735] |
[a1,a2,a3,a4,a6] |
Generators |
[-2962:9931:8] |
Generators of the group modulo torsion |
j |
1020812743382769/26914062500 |
j-invariant |
L |
3.8225317414221 |
L(r)(E,1)/r! |
Ω |
0.19597084365583 |
Real period |
R |
1.9505614533432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890j1 |
Quadratic twists by: 13 |