Atkin-Lehner |
2+ 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342g |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-3126689707176 = -1 · 23 · 37 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 5 5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9,85077] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:237:1] |
Generators of the group modulo torsion |
j |
-1/36456 |
j-invariant |
L |
4.9960340206404 |
L(r)(E,1)/r! |
Ω |
0.63460522444597 |
Real period |
R |
0.98408306223018 |
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 |
9114x1 3906f1 |
Quadratic twists by: -3 -7 |