Atkin-Lehner |
3+ 5- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755j |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
33577025625 = 32 · 54 · 11 · 134 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10120,-395968] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:36:1] |
Generators of the group modulo torsion |
j |
114621986736766081/33577025625 |
j-invariant |
L |
3.9151373043597 |
L(r)(E,1)/r! |
Ω |
0.47600535412965 |
Real period |
R |
1.0281232318057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265j4 |
Quadratic twists by: -3 |