Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800mh |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
43401015000000 = 26 · 311 · 57 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17860575,-29053019000] |
[a1,a2,a3,a4,a6] |
Generators |
[-46338669198388:-23209675227:18991421632] |
Generators of the group modulo torsion |
j |
864335783029582144/59535 |
j-invariant |
L |
5.1077009195843 |
L(r)(E,1)/r! |
Ω |
0.073438820928837 |
Real period |
R |
17.387605289323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800nu1 50400ba4 33600gf1 20160ej1 |
Quadratic twists by: -4 8 -3 5 |