Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736v |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
804678065455104 = 222 · 312 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-787971,-269220350] |
[a1,a2,a3,a4,a6] |
j |
18120364883707393/269485056 |
j-invariant |
L |
1.2819242722092 |
L(r)(E,1)/r! |
Ω |
0.16024053402615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
342f2 10944bz2 912k2 68400fb2 |
Quadratic twists by: -4 8 -3 5 |