Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
40992r |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-425005056 = -1 · 212 · 35 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 0 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145,1151] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:36:1] |
Generators of the group modulo torsion |
j |
-82881856/103761 |
j-invariant |
L |
8.4692267544049 |
L(r)(E,1)/r! |
Ω |
1.5158676910851 |
Real period |
R |
0.2793524396692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40992n1 81984bw1 122976n1 |
Quadratic twists by: -4 8 -3 |