Atkin-Lehner |
2- 3+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
3096g |
Isogeny class |
Conductor |
3096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
216670464 = 28 · 39 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-351,-2430] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
949104/43 |
j-invariant |
L |
3.3319022998285 |
L(r)(E,1)/r! |
Ω |
1.1060855968416 |
Real period |
R |
1.5061683785336 |
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 |
6192b1 24768a1 3096b1 77400a1 |
Quadratic twists by: -4 8 -3 5 |