Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1456i |
Isogeny class |
Conductor |
1456 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-248966369247232 = -1 · 232 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13861,-426358] |
[a1,a2,a3,a4,a6] |
Generators |
[31:182:1] |
Generators of the group modulo torsion |
j |
71903073502287/60782804992 |
j-invariant |
L |
2.9195874627631 |
L(r)(E,1)/r! |
Ω |
0.30616181162099 |
Real period |
R |
1.5893488083448 |
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 |
182a1 5824bd1 13104cd1 36400bk1 |
Quadratic twists by: -4 8 -3 5 |