Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392b |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-2031490919297457072 = -1 · 24 · 33 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,121793,-66635492] |
[a1,a2,a3,a4,a6] |
Generators |
[115428138:438452475643:8] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
5.2332243518319 |
L(r)(E,1)/r! |
Ω |
0.12912889902542 |
Real period |
R |
10.131783805424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56784u1 85176bw1 2184j1 |
Quadratic twists by: -4 -3 13 |