Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800oz |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-2.391934099086E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2766000,-2944825000] |
[a1,a2,a3,a4,a6] |
j |
-1605176213504/1640558367 |
j-invariant |
L |
3.5986872166754 |
L(r)(E,1)/r! |
Ω |
0.056229489370873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800ij1 25200fg1 33600fq1 100800pv1 |
Quadratic twists by: -4 8 -3 5 |