Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800kj |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
18059231232000 = 220 · 39 · 53 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7020,-97200] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:325:1] |
Generators of the group modulo torsion |
j |
59319/28 |
j-invariant |
L |
8.0083824904575 |
L(r)(E,1)/r! |
Ω |
0.54618259861104 |
Real period |
R |
3.6656159099651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ct1 25200dh1 100800kk1 100800kv1 |
Quadratic twists by: -4 8 -3 5 |