Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2772j |
Isogeny class |
Conductor |
2772 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-1431906127344 = -1 · 24 · 319 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4233,120629] |
[a1,a2,a3,a4,a6] |
j |
-719152519936/122762871 |
j-invariant |
L |
1.6408776126514 |
L(r)(E,1)/r! |
Ω |
0.8204388063257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11088bl1 44352ck1 924d1 69300y1 |
Quadratic twists by: -4 8 -3 5 |