Atkin-Lehner |
3- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13653a |
Isogeny class |
Conductor |
13653 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
128124561692493 = 36 · 37 · 416 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 -4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14699,420670] |
[a1,a2,a3,a4,a6] |
j |
481761237764457/175753856917 |
j-invariant |
L |
1.0727705043068 |
L(r)(E,1)/r! |
Ω |
0.5363852521534 |
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 |
1517a2 |
Quadratic twists by: -3 |