Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
2736i |
Isogeny class |
Conductor |
2736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-3545856 = -1 · 28 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 -3 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,92] |
[a1,a2,a3,a4,a6] |
Generators |
[1:9:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
3.586198900798 |
L(r)(E,1)/r! |
Ω |
2.1048152184942 |
Real period |
R |
0.85190349948241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1368f1 10944bv1 304d1 68400cd1 |
Quadratic twists by: -4 8 -3 5 |