Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244t |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-119260870380288 = -1 · 28 · 313 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 3 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6504,-485084] |
[a1,a2,a3,a4,a6] |
Generators |
[56:234:1] |
Generators of the group modulo torsion |
j |
163041370112/639043587 |
j-invariant |
L |
5.8709938080856 |
L(r)(E,1)/r! |
Ω |
0.29905330971416 |
Real period |
R |
1.0906628085459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748l1 |
Quadratic twists by: -3 |