Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440by |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
6668600400 = 24 · 39 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7668,-258417] |
[a1,a2,a3,a4,a6] |
Generators |
[8589:795960:1] |
Generators of the group modulo torsion |
j |
158328373248/21175 |
j-invariant |
L |
5.5228358969087 |
L(r)(E,1)/r! |
Ω |
0.51019067190311 |
Real period |
R |
5.4125214366186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13860b1 55440cf1 |
Quadratic twists by: -4 -3 |