Atkin-Lehner |
3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1083b |
Isogeny class |
Conductor |
1083 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
152852067369 = 32 · 198 |
Discriminant |
Eigenvalues |
-1 3+ -2 0 0 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2354,-40714] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
0.3450518079264 |
L(r)(E,1)/r! |
Ω |
0.69010361585281 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17328bg2 69312br2 3249e2 27075q2 |
Quadratic twists by: -4 8 -3 5 |