Atkin-Lehner |
3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
13083h |
Isogeny class |
Conductor |
13083 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
77672743814421 = 35 · 79 · 892 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 4 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-443892,113794155] |
[a1,a2,a3,a4,a6] |
j |
239702943631159/1924803 |
j-invariant |
L |
2.7435846817213 |
L(r)(E,1)/r! |
Ω |
0.54871693634426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39249i2 13083b2 |
Quadratic twists by: -3 -7 |