Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5700j |
Isogeny class |
Conductor |
5700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-2436750000 = -1 · 24 · 33 · 56 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,2388] |
[a1,a2,a3,a4,a6] |
Generators |
[7:57:1] |
Generators of the group modulo torsion |
j |
131072/9747 |
j-invariant |
L |
4.6862088592385 |
L(r)(E,1)/r! |
Ω |
1.1074743644133 |
Real period |
R |
0.470159752659 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22800by1 91200u1 17100m1 228a1 |
Quadratic twists by: -4 8 -3 5 |