Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400bm |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-25200 = -1 · 24 · 32 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -1 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2,7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:3:1] |
Generators of the group modulo torsion |
j |
1280/63 |
j-invariant |
L |
3.6188406439478 |
L(r)(E,1)/r! |
Ω |
2.8656695958373 |
Real period |
R |
0.63141275065426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2100j1 33600gm1 25200ej1 8400cl1 |
Quadratic twists by: -4 8 -3 5 |