Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896d |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-4020240384 = -1 · 221 · 33 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 -3 2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,372,-1296] |
[a1,a2,a3,a4,a6] |
Generators |
[30:192:1] |
Generators of the group modulo torsion |
j |
804357/568 |
j-invariant |
L |
3.6521753689667 |
L(r)(E,1)/r! |
Ω |
0.78406540800317 |
Real period |
R |
0.5822497925059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896bk1 1278b1 40896h1 |
Quadratic twists by: -4 8 -3 |