Atkin-Lehner |
2- 3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20748b |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-2939283534580848 = -1 · 24 · 312 · 72 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -2 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82538,9520005] |
[a1,a2,a3,a4,a6] |
Generators |
[1402:5103:8] |
Generators of the group modulo torsion |
j |
-3886608666197344000/183705220911303 |
j-invariant |
L |
3.9960008683052 |
L(r)(E,1)/r! |
Ω |
0.44677926884901 |
Real period |
R |
2.2360039660074 |
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 |
82992cl1 62244l1 |
Quadratic twists by: -4 -3 |