Atkin-Lehner |
2- 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
13104by |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-109410752812548096 = -1 · 239 · 37 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 3 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3752139,-2797522054] |
[a1,a2,a3,a4,a6] |
j |
-1956469094246217097/36641439744 |
j-invariant |
L |
1.9525485531995 |
L(r)(E,1)/r! |
Ω |
0.054237459811097 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1638t3 52416ev3 4368p3 91728en3 |
Quadratic twists by: -4 8 -3 -7 |