Atkin-Lehner |
3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
40053h |
Isogeny class |
Conductor |
40053 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
9995666733 = 36 · 133 · 792 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 -4 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-647,4068] |
[a1,a2,a3,a4,a6] |
Generators |
[1:58:1] |
Generators of the group modulo torsion |
j |
13634789869/4549689 |
j-invariant |
L |
3.6729560752734 |
L(r)(E,1)/r! |
Ω |
1.1875422596653 |
Real period |
R |
0.51548426247271 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120159m2 40053g2 |
Quadratic twists by: -3 13 |