Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272b |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-1316247408 = -1 · 24 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ 0 6 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,180,-1539] |
[a1,a2,a3,a4,a6] |
Generators |
[9:27:1] |
Generators of the group modulo torsion |
j |
16696064/34263 |
j-invariant |
L |
4.1660224422938 |
L(r)(E,1)/r! |
Ω |
0.7948656798321 |
Real period |
R |
1.3102913322325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bc1 55272k1 |
Quadratic twists by: -4 -7 |