Atkin-Lehner |
2+ 3+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826f |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
-1.6529937720404E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 3 -3 13- 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,509340,136576592] |
[a1,a2,a3,a4,a6] |
Generators |
[283864:11359636:343] |
Generators of the group modulo torsion |
j |
742429622972858157/839807840288768 |
j-invariant |
L |
3.9111845529086 |
L(r)(E,1)/r! |
Ω |
0.14632839510441 |
Real period |
R |
2.2274012220469 |
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 |
20826u1 |
Quadratic twists by: -3 |