Atkin-Lehner |
3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
1083c |
Isogeny class |
Conductor |
1083 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-52782232316211 = -1 · 310 · 197 |
Discriminant |
Eigenvalues |
2 3+ 1 3 -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,7100,260625] |
[a1,a2,a3,a4,a6] |
j |
841232384/1121931 |
j-invariant |
L |
3.4016757155462 |
L(r)(E,1)/r! |
Ω |
0.42520946444328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17328bf1 69312bq1 3249f1 27075u1 |
Quadratic twists by: -4 8 -3 5 |