Atkin-Lehner |
2- 3+ 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
43248q |
Isogeny class |
Conductor |
43248 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
1416985083648 = 28 · 37 · 17 · 533 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -2 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4676,110508] |
[a1,a2,a3,a4,a6] |
Generators |
[95415:35216:3375] |
Generators of the group modulo torsion |
j |
44177397542224/5535097983 |
j-invariant |
L |
7.6477075173766 |
L(r)(E,1)/r! |
Ω |
0.82294541626968 |
Real period |
R |
9.2930920643974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10812f1 129744bp1 |
Quadratic twists by: -4 -3 |