Atkin-Lehner |
2- 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592by |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-31211913216 = -1 · 221 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,-10911] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1892:1] |
Generators of the group modulo torsion |
j |
-148035889/119064 |
j-invariant |
L |
5.8249355459796 |
L(r)(E,1)/r! |
Ω |
0.44780947163571 |
Real period |
R |
3.2519050598007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bo1 21648bf1 |
Quadratic twists by: -4 8 |