Atkin-Lehner |
2- 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
62928bl |
Isogeny class |
Conductor |
62928 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
11685040867639296 = 217 · 36 · 19 · 235 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-59043,1855906] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:1058:1] |
Generators of the group modulo torsion |
j |
7623273198241/3913296544 |
j-invariant |
L |
5.1734420007413 |
L(r)(E,1)/r! |
Ω |
0.35478270149833 |
Real period |
R |
1.4582001825312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998134 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7866e1 6992o1 |
Quadratic twists by: -4 -3 |