Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
13140c |
Isogeny class |
Conductor |
13140 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-24862982400 = -1 · 28 · 36 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,15086] |
[a1,a2,a3,a4,a6] |
Generators |
[7:90:1] |
Generators of the group modulo torsion |
j |
-680136784/133225 |
j-invariant |
L |
4.1764724876643 |
L(r)(E,1)/r! |
Ω |
1.1457812973417 |
Real period |
R |
0.60751449649161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52560bo2 1460a2 65700g2 |
Quadratic twists by: -4 -3 5 |