Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
2800t |
Isogeny class |
Conductor |
2800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-3500000000 = -1 · 28 · 59 · 7 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -3 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,2863] |
[a1,a2,a3,a4,a6] |
Generators |
[3:50:1] |
Generators of the group modulo torsion |
j |
-65536/875 |
j-invariant |
L |
3.7889070316799 |
L(r)(E,1)/r! |
Ω |
1.1925230249929 |
Real period |
R |
0.79430479585552 |
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 |
700a1 11200cl1 25200em1 560f1 |
Quadratic twists by: -4 8 -3 5 |