Atkin-Lehner |
2- 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064be |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
467730432 = 216 · 32 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -4 0 4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,-396] |
[a1,a2,a3,a4,a6] |
j |
217081801/114192 |
j-invariant |
L |
2.6915544777844 |
L(r)(E,1)/r! |
Ω |
1.3457772389014 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4758b1 114192by1 |
Quadratic twists by: -4 -3 |