Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bk |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
783360 |
Modular degree for the optimal curve |
Δ |
-5807996460000000 = -1 · 28 · 35 · 57 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5033,3667563] |
[a1,a2,a3,a4,a6] |
Generators |
[-143:1218:1] [-122:1575:1] |
Generators of the group modulo torsion |
j |
-3525581824/1451999115 |
j-invariant |
L |
13.230916337634 |
L(r)(E,1)/r! |
Ω |
0.34609469984909 |
Real period |
R |
0.15928824704159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000004376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24360e1 |
Quadratic twists by: 5 |