Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800lc |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
5898240 |
Modular degree for the optimal curve |
Δ |
3.7975888125E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25192200,-48659389000] |
[a1,a2,a3,a4,a6] |
Generators |
[79807364008629602:4695938837232517656:10484765311103] |
Generators of the group modulo torsion |
j |
151591373397612544/32558203125 |
j-invariant |
L |
7.400806455923 |
L(r)(E,1)/r! |
Ω |
0.067388940461937 |
Real period |
R |
27.455567669905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800en1 25200w1 33600ee1 20160ea1 |
Quadratic twists by: -4 8 -3 5 |