Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456t |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-20411449344 = -1 · 217 · 32 · 113 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 3 11- 13- -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,671,-1823] |
[a1,a2,a3,a4,a6] |
Generators |
[19:132:1] |
Generators of the group modulo torsion |
j |
254527054/155727 |
j-invariant |
L |
6.5565639004694 |
L(r)(E,1)/r! |
Ω |
0.70331199516154 |
Real period |
R |
0.77686763313859 |
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 |
27456cd1 3432b1 82368bl1 |
Quadratic twists by: -4 8 -3 |