Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ls |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-57610828800 = -1 · 210 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -3 0 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,11720] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:117:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
4.7891971433991 |
L(r)(E,1)/r! |
Ω |
0.93756688083375 |
Real period |
R |
2.554056272059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999967899 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800ff1 25200bb1 33600ek1 100800pt1 |
Quadratic twists by: -4 8 -3 5 |