Atkin-Lehner |
3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
40425bs |
Isogeny class |
Conductor |
40425 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-2166934650890625 = -1 · 37 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11+ 0 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24474,-1684427] |
[a1,a2,a3,a4,a6] |
j |
17999471/24057 |
j-invariant |
L |
3.4551103280345 |
L(r)(E,1)/r! |
Ω |
0.24679359486421 |
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 |
121275cs1 1617b1 40425i1 |
Quadratic twists by: -3 5 -7 |