Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296n |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
24 |
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 |
[40:246:1] |
Generators of the group modulo torsion |
j |
-15179306176/61408611 |
j-invariant |
L |
6.7379106815382 |
L(r)(E,1)/r! |
Ω |
1.2152404226388 |
Real period |
R |
0.23102118162547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296w1 86592u1 129888bb1 |
Quadratic twists by: -4 8 -3 |