Atkin-Lehner |
2+ 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592y |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-7555280560717824 = -1 · 225 · 33 · 112 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -4 11- -5 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-463649,121742241] |
[a1,a2,a3,a4,a6] |
Generators |
[25:10496:1] |
Generators of the group modulo torsion |
j |
-42048713138244553/28821108096 |
j-invariant |
L |
5.331057936335 |
L(r)(E,1)/r! |
Ω |
0.41328657763189 |
Real period |
R |
0.53746583056826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592df1 2706f1 |
Quadratic twists by: -4 8 |