Atkin-Lehner |
2+ 3+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296f |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-259776 = -1 · 26 · 32 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11+ -2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82,316] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-6:1] [-5:24:1] |
Generators of the group modulo torsion |
j |
-964430272/4059 |
j-invariant |
L |
5.8947552722531 |
L(r)(E,1)/r! |
Ω |
3.1224026900275 |
Real period |
R |
0.47197269678566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296s1 86592dr1 129888bh1 |
Quadratic twists by: -4 8 -3 |