Atkin-Lehner |
2- 3- 7+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62244v |
Isogeny class |
Conductor |
62244 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
-33085232458557552 = -1 · 24 · 320 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 0 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36807,8318585] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:2205:1] |
Generators of the group modulo torsion |
j |
472789110043904/2836525416543 |
j-invariant |
L |
8.6801167719434 |
L(r)(E,1)/r! |
Ω |
0.26696092056353 |
Real period |
R |
2.7095466362001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20748g1 |
Quadratic twists by: -3 |