Atkin-Lehner |
2- 5- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
11110h |
Isogeny class |
Conductor |
11110 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-135775310000000 = -1 · 27 · 57 · 113 · 1012 |
Discriminant |
Eigenvalues |
2- 1 5- 1 11+ 0 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12655,-117463] |
[a1,a2,a3,a4,a6] |
Generators |
[164:2443:1] |
Generators of the group modulo torsion |
j |
224134141362545519/135775310000000 |
j-invariant |
L |
8.3503770587561 |
L(r)(E,1)/r! |
Ω |
0.33869384485039 |
Real period |
R |
0.25157802678292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88880u1 99990h1 55550b1 122210g1 |
Quadratic twists by: -4 -3 5 -11 |