Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15900c |
Isogeny class |
Conductor |
15900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
10732500000000 = 28 · 34 · 510 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -3 6 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8333,-249537] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:117:1] |
Generators of the group modulo torsion |
j |
25600000/4293 |
j-invariant |
L |
6.3577123243725 |
L(r)(E,1)/r! |
Ω |
0.50538255769831 |
Real period |
R |
3.144999875603 |
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 |
63600bj1 47700e1 15900a1 |
Quadratic twists by: -4 -3 5 |