Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
27450bd |
Isogeny class |
Conductor |
27450 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-7504143750000000 = -1 · 27 · 39 · 511 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 0 3 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64505,-7542503] |
[a1,a2,a3,a4,a6] |
j |
-96513090003/24400000 |
j-invariant |
L |
4.1390238672751 |
L(r)(E,1)/r! |
Ω |
0.14782228097413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27450a1 5490a1 |
Quadratic twists by: -3 5 |