Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dl |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
2226957815808 = 212 · 35 · 113 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-431353,108899207] |
[a1,a2,a3,a4,a6] |
Generators |
[371:-264:1] |
Generators of the group modulo torsion |
j |
2167021596455416000/543690873 |
j-invariant |
L |
7.3301338130589 |
L(r)(E,1)/r! |
Ω |
0.65542265174467 |
Real period |
R |
0.37279424667884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bx1 43296c1 |
Quadratic twists by: -4 8 |