Atkin-Lehner |
3+ 5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585b |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
284517765 = 39 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 1 -3 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1242,-16828] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:3:1] |
Generators of the group modulo torsion |
j |
10764582912/14455 |
j-invariant |
L |
3.6738498009552 |
L(r)(E,1)/r! |
Ω |
0.80427427249266 |
Real period |
R |
1.1419766634985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18585a1 92925c1 |
Quadratic twists by: -3 5 |