Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cj |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
1176 |
Product of Tamagawa factors cp |
deg |
6773760 |
Modular degree for the optimal curve |
Δ |
-6.8711006568975E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-369561665,-2737533428289] |
[a1,a2,a3,a4,a6] |
Generators |
[46255:-8895744:1] |
Generators of the group modulo torsion |
j |
-21293376668673906679951249/26211168887701209984 |
j-invariant |
L |
7.4509841070284 |
L(r)(E,1)/r! |
Ω |
0.017215346934928 |
Real period |
R |
0.36803619835596 |
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 |
27456g1 6864j1 82368ea1 |
Quadratic twists by: -4 8 -3 |