Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bt |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-9833394733056 = -1 · 226 · 37 · 67 |
Discriminant |
Eigenvalues |
2- 3- 1 3 0 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1452,-152368] |
[a1,a2,a3,a4,a6] |
Generators |
[112:1044:1] |
Generators of the group modulo torsion |
j |
-1771561/51456 |
j-invariant |
L |
7.4191428297993 |
L(r)(E,1)/r! |
Ω |
0.3153569369677 |
Real period |
R |
2.9407720110486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38592w1 9648p1 12864ba1 |
Quadratic twists by: -4 8 -3 |