Atkin-Lehner |
2- 3- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7476a |
Isogeny class |
Conductor |
7476 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
-271289088 = -1 · 28 · 35 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 0 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-189,1215] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:42:1] |
Generators of the group modulo torsion |
j |
-2932006912/1059723 |
j-invariant |
L |
4.2137296742978 |
L(r)(E,1)/r! |
Ω |
1.6392903649659 |
Real period |
R |
0.085681987042512 |
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 |
29904c1 119616a1 22428d1 52332e1 |
Quadratic twists by: -4 8 -3 -7 |