Atkin-Lehner |
2+ 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40128f |
Isogeny class |
Conductor |
40128 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-3250368 = -1 · 26 · 35 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11+ -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,-87] |
[a1,a2,a3,a4,a6] |
j |
512/50787 |
j-invariant |
L |
1.1583494147702 |
L(r)(E,1)/r! |
Ω |
1.1583494147813 |
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 |
40128y1 20064g1 120384bs1 |
Quadratic twists by: -4 8 -3 |