Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6300j |
Isogeny class |
Conductor |
6300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-241116750000 = -1 · 24 · 39 · 56 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1500,7625] |
[a1,a2,a3,a4,a6] |
Generators |
[16:189:1] |
Generators of the group modulo torsion |
j |
2048000/1323 |
j-invariant |
L |
4.0864299636407 |
L(r)(E,1)/r! |
Ω |
0.61706389202846 |
Real period |
R |
0.55186478207946 |
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 |
25200eu1 100800ej1 2100c1 252a1 |
Quadratic twists by: -4 8 -3 5 |