Atkin-Lehner |
3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
10089d |
Isogeny class |
Conductor |
10089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-3905441811 = -1 · 310 · 19 · 592 |
Discriminant |
Eigenvalues |
0 3- 1 -1 3 2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1362,19579] |
[a1,a2,a3,a4,a6] |
Generators |
[49:265:1] |
Generators of the group modulo torsion |
j |
-383290015744/5357259 |
j-invariant |
L |
3.9349191416178 |
L(r)(E,1)/r! |
Ω |
1.3982423627374 |
Real period |
R |
0.70354740467065 |
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 |
3363a1 |
Quadratic twists by: -3 |