Atkin-Lehner |
2+ 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3486c |
Isogeny class |
Conductor |
3486 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
3123456 = 28 · 3 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-259,-1715] |
[a1,a2,a3,a4,a6] |
j |
1933038007993/3123456 |
j-invariant |
L |
1.1895936731881 |
L(r)(E,1)/r! |
Ω |
1.1895936731881 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27888bj1 111552be1 10458s1 87150cq1 |
Quadratic twists by: -4 8 -3 5 |