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 |
-1116197410185 = -1 · 32 · 5 · 114 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 4 11- 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2210,-30460] |
[a1,a2,a3,a4,a6] |
Generators |
[25:190:1] |
Generators of the group modulo torsion |
j |
1193680917131039/1116197410185 |
j-invariant |
L |
3.9151373043597 |
L(r)(E,1)/r! |
Ω |
0.47600535412965 |
Real period |
R |
4.1124929272226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122265j3 |
Quadratic twists by: -3 |