Atkin-Lehner |
2- 5+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
43700f |
Isogeny class |
Conductor |
43700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-136562500000000 = -1 · 28 · 513 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 3 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4175,571750] |
[a1,a2,a3,a4,a6] |
Generators |
[66:764:1] |
Generators of the group modulo torsion |
j |
-2012024016/34140625 |
j-invariant |
L |
4.8531000033211 |
L(r)(E,1)/r! |
Ω |
0.49182395942961 |
Real period |
R |
4.9337775338738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8740d1 |
Quadratic twists by: 5 |