Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
1.4183572260375E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1192575,467381000] |
[a1,a2,a3,a4,a6] |
Generators |
[-9790:77625:8] |
Generators of the group modulo torsion |
j |
257307998572864/19456203375 |
j-invariant |
L |
7.2746308662609 |
L(r)(E,1)/r! |
Ω |
0.2178780746319 |
Real period |
R |
4.1735675300941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005273 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nw1 50400bb3 33600ep1 20160ef1 |
Quadratic twists by: -4 8 -3 5 |