Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cd |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1216512 |
Modular degree for the optimal curve |
Δ |
375284367360000000 = 222 · 32 · 57 · 74 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 4 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-280188,48770781] |
[a1,a2,a3,a4,a6] |
Generators |
[589:-9703:1] |
Generators of the group modulo torsion |
j |
155687009506834681/24018199511040 |
j-invariant |
L |
8.5969729361726 |
L(r)(E,1)/r! |
Ω |
0.28859703148282 |
Real period |
R |
0.67701925949866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130s1 |
Quadratic twists by: 5 |