Atkin-Lehner |
2+ 3+ 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
12282c |
Isogeny class |
Conductor |
12282 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
928 |
Modular degree for the optimal curve |
Δ |
36846 = 2 · 32 · 23 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -2 1 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8,-6] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] [-1:2:1] |
Generators of the group modulo torsion |
j |
68417929/36846 |
j-invariant |
L |
3.8983360610681 |
L(r)(E,1)/r! |
Ω |
2.9753156051761 |
Real period |
R |
0.65511303309891 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98256l1 36846u1 |
Quadratic twists by: -4 -3 |