Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20826bh |
Isogeny class |
Conductor |
20826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11648 |
Modular degree for the optimal curve |
Δ |
-43859556 = -1 · 22 · 36 · 132 · 89 |
Discriminant |
Eigenvalues |
2- 3- -3 0 2 13- -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-659,6679] |
[a1,a2,a3,a4,a6] |
Generators |
[11:20:1] |
Generators of the group modulo torsion |
j |
-43354526697/60164 |
j-invariant |
L |
6.531522581747 |
L(r)(E,1)/r! |
Ω |
2.02297056094 |
Real period |
R |
0.80716975173284 |
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 |
2314a1 |
Quadratic twists by: -3 |