Atkin-Lehner |
2+ 3- 5- 19+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890i |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
3332643678720000 = 212 · 39 · 54 · 19 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48789,-3068555] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:1097:1] |
Generators of the group modulo torsion |
j |
17618419280309329/4571527680000 |
j-invariant |
L |
5.3821845456293 |
L(r)(E,1)/r! |
Ω |
0.32740452292643 |
Real period |
R |
2.0548679737105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33630h1 |
Quadratic twists by: -3 |