Atkin-Lehner |
2+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
40256b |
Isogeny class |
Conductor |
40256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-47652798464 = -1 · 218 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 0 -1 -1 5 2 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,692,-7824] |
[a1,a2,a3,a4,a6] |
j |
139798359/181781 |
j-invariant |
L |
1.2085362938648 |
L(r)(E,1)/r! |
Ω |
0.60426814692588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40256v1 629a1 |
Quadratic twists by: -4 8 |