Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
110544bi |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
250760926192896 = 28 · 311 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -5 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-224289,40802859] |
[a1,a2,a3,a4,a6] |
Generators |
[270:27:1] |
Generators of the group modulo torsion |
j |
41430613746688/8325909 |
j-invariant |
L |
10.947935804196 |
L(r)(E,1)/r! |
Ω |
0.53840290216616 |
Real period |
R |
1.8485540927492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029573 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55272u1 2256c1 |
Quadratic twists by: -4 -7 |