Atkin-Lehner |
2- 3- 17- |
Signs for the Atkin-Lehner involutions |
Class |
27744bd |
Isogeny class |
Conductor |
27744 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-144324288 = -1 · 26 · 33 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 -5 -2 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-674,6540] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:102:1] [-6:102:1] |
Generators of the group modulo torsion |
j |
-6344128/27 |
j-invariant |
L |
7.6965629473351 |
L(r)(E,1)/r! |
Ω |
1.8440504934621 |
Real period |
R |
0.2318737105754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27744v1 55488de1 83232w1 27744q1 |
Quadratic twists by: -4 8 -3 17 |