Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
20292m |
Isogeny class |
Conductor |
20292 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2592 |
Modular degree for the optimal curve |
Δ |
-243504 = -1 · 24 · 32 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 5 -3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,11,-16] |
[a1,a2,a3,a4,a6] |
Generators |
[10:9:8] |
Generators of the group modulo torsion |
j |
8388608/15219 |
j-invariant |
L |
7.469761418319 |
L(r)(E,1)/r! |
Ω |
1.6368016358856 |
Real period |
R |
2.2818163345363 |
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 |
81168bv1 60876r1 |
Quadratic twists by: -4 -3 |