Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040bs |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
2680529674567680 = 220 · 34 · 5 · 135 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10519200,-13128231168] |
[a1,a2,a3,a4,a6] |
Generators |
[14064599574403047:-2117070961872571584:607860671111] |
Generators of the group modulo torsion |
j |
31427652507069423952801/654426190080 |
j-invariant |
L |
4.546520808874 |
L(r)(E,1)/r! |
Ω |
0.083830850770957 |
Real period |
R |
27.117229319812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630x1 |
Quadratic twists by: -4 |