Atkin-Lehner |
2+ 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
127800f |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
-727860937500000000 = -1 · 28 · 38 · 514 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-557175,165258250] |
[a1,a2,a3,a4,a6] |
j |
-6560109033424/249609375 |
j-invariant |
L |
2.2652988591977 |
L(r)(E,1)/r! |
Ω |
0.283162141181 |
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 |
42600be1 25560g1 |
Quadratic twists by: -3 5 |