Atkin-Lehner |
2- 3+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650cc |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
16777135226250000 = 24 · 35 · 57 · 7 · 534 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-98063,-10084219] |
[a1,a2,a3,a4,a6] |
Generators |
[-34950:288817:216] |
Generators of the group modulo torsion |
j |
6674511548192041/1073736654480 |
j-invariant |
L |
7.7110146482757 |
L(r)(E,1)/r! |
Ω |
0.27272330944301 |
Real period |
R |
7.068532814515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999937 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130r1 |
Quadratic twists by: 5 |