Atkin-Lehner |
2- 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cd |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-312656250 = -1 · 2 · 3 · 57 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,867] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:271:8] |
Generators of the group modulo torsion |
j |
-1771561/20010 |
j-invariant |
L |
12.154219751592 |
L(r)(E,1)/r! |
Ω |
1.4635193003523 |
Real period |
R |
4.1523947571732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009859 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010d1 |
Quadratic twists by: 5 |