Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800ln |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
6123600000000 = 210 · 37 · 58 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4800,47000] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:200:1] |
Generators of the group modulo torsion |
j |
1048576/525 |
j-invariant |
L |
6.3043064799209 |
L(r)(E,1)/r! |
Ω |
0.66849331225665 |
Real period |
R |
2.3576550329542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863085 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800fb1 25200du1 33600ei1 20160fd1 |
Quadratic twists by: -4 8 -3 5 |