Atkin-Lehner |
2+ 3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7470g |
Isogeny class |
Conductor |
7470 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-24407313660 = -1 · 22 · 311 · 5 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,7776] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:90:1] |
Generators of the group modulo torsion |
j |
-2992209121/33480540 |
j-invariant |
L |
3.1838023532066 |
L(r)(E,1)/r! |
Ω |
1.0180789101821 |
Real period |
R |
0.78181620338182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760z1 2490j1 37350bk1 |
Quadratic twists by: -4 -3 5 |