Atkin-Lehner |
2+ 3- 5- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
34710r |
Isogeny class |
Conductor |
34710 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-1672722244440 = -1 · 23 · 33 · 5 · 133 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6988,-233854] |
[a1,a2,a3,a4,a6] |
j |
-37730543344486201/1672722244440 |
j-invariant |
L |
2.3437278547072 |
L(r)(E,1)/r! |
Ω |
0.26041420607597 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104130bq2 |
Quadratic twists by: -3 |