Atkin-Lehner |
3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
1083d |
Isogeny class |
Conductor |
1083 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36 |
Modular degree for the optimal curve |
Δ |
-1083 = -1 · 3 · 192 |
Discriminant |
Eigenvalues |
-1 3- 0 1 -2 -5 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[1:1:1] |
Generators of the group modulo torsion |
j |
2375/3 |
j-invariant |
L |
1.9597168743152 |
L(r)(E,1)/r! |
Ω |
2.624171538224 |
Real period |
R |
0.74679450095766 |
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 |
17328s1 69312k1 3249d1 27075d1 |
Quadratic twists by: -4 8 -3 5 |