Atkin-Lehner |
2+ 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650x |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
18240 |
Modular degree for the optimal curve |
Δ |
-31553550 = -1 · 2 · 35 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 1 2 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,24,268] |
[a1,a2,a3,a4,a6] |
Generators |
[8:27:1] |
Generators of the group modulo torsion |
j |
64889375/1262142 |
j-invariant |
L |
5.5920637407229 |
L(r)(E,1)/r! |
Ω |
1.5551772888898 |
Real period |
R |
0.35957725081034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650cl1 |
Quadratic twists by: 5 |