Atkin-Lehner |
2- 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12540f |
Isogeny class |
Conductor |
12540 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-67716000000 = -1 · 28 · 34 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 11+ -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,740,9592] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:70:1] [-2:90:1] |
Generators of the group modulo torsion |
j |
174820311344/264515625 |
j-invariant |
L |
5.3954269694946 |
L(r)(E,1)/r! |
Ω |
0.74685497001858 |
Real period |
R |
0.80268848647337 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50160ch2 37620h2 62700z2 |
Quadratic twists by: -4 -3 5 |