Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736v |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
49017913344 = 217 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12607491,-17230231550] |
[a1,a2,a3,a4,a6] |
j |
74220219816682217473/16416 |
j-invariant |
L |
1.2819242722092 |
L(r)(E,1)/r! |
Ω |
0.080120267013073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
342f3 10944bz3 912k3 68400fb4 |
Quadratic twists by: -4 8 -3 5 |