Atkin-Lehner |
2- 3+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
45828c |
Isogeny class |
Conductor |
45828 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-167180544 = -1 · 28 · 33 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 -3 2 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,622] |
[a1,a2,a3,a4,a6] |
Generators |
[23:114:1] |
Generators of the group modulo torsion |
j |
11664/24187 |
j-invariant |
L |
7.2980135532661 |
L(r)(E,1)/r! |
Ω |
1.4215165347035 |
Real period |
R |
0.42783026525483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45828d1 |
Quadratic twists by: -3 |