Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150bw |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-3507690780000000 = -1 · 28 · 32 · 57 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15062,-2752969] |
[a1,a2,a3,a4,a6] |
Generators |
[125:987:1] |
Generators of the group modulo torsion |
j |
13651919/126720 |
j-invariant |
L |
6.5749673369667 |
L(r)(E,1)/r! |
Ω |
0.21990597192463 |
Real period |
R |
1.8686871255196 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54450bn1 3630k1 1650a1 |
Quadratic twists by: -3 5 -11 |