Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
40896a |
Isogeny class |
Conductor |
40896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-62816256 = -1 · 215 · 33 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 -1 -2 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1932,32688] |
[a1,a2,a3,a4,a6] |
Generators |
[24:12:1] |
Generators of the group modulo torsion |
j |
-901428696/71 |
j-invariant |
L |
6.4100823777818 |
L(r)(E,1)/r! |
Ω |
1.8746321523321 |
Real period |
R |
0.85484535856909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40896f1 20448b1 40896i1 |
Quadratic twists by: -4 8 -3 |