Atkin-Lehner |
3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20097h |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-21399272557047 = -1 · 36 · 73 · 112 · 294 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5259,-168616] |
[a1,a2,a3,a4,a6] |
Generators |
[3516704:39990443:32768] |
Generators of the group modulo torsion |
j |
22062729659823/29354283343 |
j-invariant |
L |
7.0168903268436 |
L(r)(E,1)/r! |
Ω |
0.3627246336231 |
Real period |
R |
9.6724755867211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2233a1 |
Quadratic twists by: -3 |