Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296w |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-3930151104 = -1 · 26 · 34 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- -2 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-206,-3156] |
[a1,a2,a3,a4,a6] |
Generators |
[20:18:1] [42:246:1] |
Generators of the group modulo torsion |
j |
-15179306176/61408611 |
j-invariant |
L |
7.4832090374059 |
L(r)(E,1)/r! |
Ω |
0.57442943886669 |
Real period |
R |
1.0856002685857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296n1 86592bg1 129888d1 |
Quadratic twists by: -4 8 -3 |