Atkin-Lehner |
2- 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672be |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1409582685888 = -1 · 26 · 33 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -2 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1521,-61516] |
[a1,a2,a3,a4,a6] |
Generators |
[65:338:1] [79:558:1] |
Generators of the group modulo torsion |
j |
-46656/169 |
j-invariant |
L |
8.6325003467985 |
L(r)(E,1)/r! |
Ω |
0.35039691739881 |
Real period |
R |
6.159086965492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48672d1 97344f2 48672a1 3744a1 |
Quadratic twists by: -4 8 -3 13 |