Atkin-Lehner |
2- 5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
55550s |
Isogeny class |
Conductor |
55550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-22220000000 = -1 · 28 · 57 · 11 · 101 |
Discriminant |
Eigenvalues |
2- -3 5+ -2 11- 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,270,6897] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-105:1] [-7:71:1] |
Generators of the group modulo torsion |
j |
139798359/1422080 |
j-invariant |
L |
9.1423534159299 |
L(r)(E,1)/r! |
Ω |
0.88657022442925 |
Real period |
R |
0.32225145439742 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110e1 |
Quadratic twists by: 5 |