Atkin-Lehner |
3- 5- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755t |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
6988463625 = 3 · 53 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11+ 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1238,16163] |
[a1,a2,a3,a4,a6] |
j |
209595169258201/6988463625 |
j-invariant |
L |
3.9602627471937 |
L(r)(E,1)/r! |
Ω |
1.320087582401 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265n1 |
Quadratic twists by: -3 |