Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600bs |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-259584000000000 = -1 · 218 · 3 · 59 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15792,126912] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1088:1] |
Generators of the group modulo torsion |
j |
54439939/32448 |
j-invariant |
L |
3.5817993766346 |
L(r)(E,1)/r! |
Ω |
0.33758235011957 |
Real period |
R |
2.6525375033425 |
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 |
1950ba1 62400id1 46800et1 15600cv1 |
Quadratic twists by: -4 8 -3 5 |