Atkin-Lehner |
2- 3- 5+ 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990s |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1036696320 = -1 · 28 · 36 · 5 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,97,-1529] |
[a1,a2,a3,a4,a6] |
Generators |
[11:22:1] |
Generators of the group modulo torsion |
j |
139798359/1422080 |
j-invariant |
L |
10.358404232357 |
L(r)(E,1)/r! |
Ω |
0.76800784787695 |
Real period |
R |
1.6859209606417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110e1 |
Quadratic twists by: -3 |