Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800pt |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-900169200000000 = -1 · 210 · 38 · 58 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7500,1465000] |
[a1,a2,a3,a4,a6] |
Generators |
[125:1575:1] |
Generators of the group modulo torsion |
j |
-160000/3087 |
j-invariant |
L |
6.1584392545042 |
L(r)(E,1)/r! |
Ω |
0.41929265579934 |
Real period |
R |
0.81598260705992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923685 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100800gv1 25200cl1 33600hl1 100800ls1 |
Quadratic twists by: -4 8 -3 5 |