Atkin-Lehner |
2+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20944a |
Isogeny class |
Conductor |
20944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-95745579776 = -1 · 28 · 76 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3 1 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,428,14492] |
[a1,a2,a3,a4,a6] |
Generators |
[-501:343:27] |
Generators of the group modulo torsion |
j |
33869988864/374006171 |
j-invariant |
L |
9.2064985305067 |
L(r)(E,1)/r! |
Ω |
0.7866764914948 |
Real period |
R |
2.9257574841893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10472c1 83776v1 |
Quadratic twists by: -4 8 |