Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
62400k |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-1521000000 = -1 · 26 · 32 · 56 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 -6 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192,-1638] |
[a1,a2,a3,a4,a6] |
Generators |
[27:150:1] |
Generators of the group modulo torsion |
j |
778688/1521 |
j-invariant |
L |
4.4612942202095 |
L(r)(E,1)/r! |
Ω |
0.78721721072654 |
Real period |
R |
1.4167926460028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62400cl1 31200cd2 2496n1 |
Quadratic twists by: -4 8 5 |