Atkin-Lehner |
3+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40749i |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
264384 |
Modular degree for the optimal curve |
Δ |
-6453280184426541 = -1 · 39 · 178 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 1 4 0 2 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-75435,8830398] |
[a1,a2,a3,a4,a6] |
j |
-6805364401/925101 |
j-invariant |
L |
1.6375609672659 |
L(r)(E,1)/r! |
Ω |
0.40939024180689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122247v1 40749l1 |
Quadratic twists by: -3 17 |