Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
27664b |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
313600 |
Modular degree for the optimal curve |
Δ |
-27145484271453184 = -1 · 210 · 77 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ -5 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-282584,-58454012] |
[a1,a2,a3,a4,a6] |
j |
-2437069964511307108/26509261983841 |
j-invariant |
L |
1.0346680247019 |
L(r)(E,1)/r! |
Ω |
0.10346680247021 |
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 |
13832d1 110656bc1 |
Quadratic twists by: -4 8 |