Atkin-Lehner |
7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55811h |
Isogeny class |
Conductor |
55811 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
45962758373 = 79 · 17 · 67 |
Discriminant |
Eigenvalues |
0 2 4 7- -3 -3 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27701,-1765331] |
[a1,a2,a3,a4,a6] |
Generators |
[5255873:36381683:24389] |
Generators of the group modulo torsion |
j |
19981932691456/390677 |
j-invariant |
L |
9.2332200269087 |
L(r)(E,1)/r! |
Ω |
0.37006234442173 |
Real period |
R |
12.475222305317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7973h1 |
Quadratic twists by: -7 |