Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cj |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
46817869824 = 220 · 32 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11- -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-59489,5604609] |
[a1,a2,a3,a4,a6] |
Generators |
[139:44:1] |
Generators of the group modulo torsion |
j |
88818021833113/178596 |
j-invariant |
L |
4.2522212763937 |
L(r)(E,1)/r! |
Ω |
0.97426383398495 |
Real period |
R |
1.0911370012758 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007832 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592bc1 21648bb1 |
Quadratic twists by: -4 8 |