Atkin-Lehner |
2+ 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
40800z |
Isogeny class |
Conductor |
40800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4335000000 = -1 · 26 · 3 · 57 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158,-3312] |
[a1,a2,a3,a4,a6] |
Generators |
[1674:24225:8] |
Generators of the group modulo torsion |
j |
-438976/4335 |
j-invariant |
L |
7.8528853528026 |
L(r)(E,1)/r! |
Ω |
0.58602383692112 |
Real period |
R |
3.3500707898069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40800k1 81600gl1 122400cv1 8160g1 |
Quadratic twists by: -4 8 -3 5 |