Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
35280ed |
Isogeny class |
Conductor |
35280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
553063956480 = 214 · 39 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2163,-14798] |
[a1,a2,a3,a4,a6] |
j |
1092727/540 |
j-invariant |
L |
2.945719159987 |
L(r)(E,1)/r! |
Ω |
0.73642978999552 |
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 |
4410j1 11760cq1 35280fj1 |
Quadratic twists by: -4 -3 -7 |