Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fs |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
85710804480000000 = 215 · 314 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360300,82042000] |
[a1,a2,a3,a4,a6] |
Generators |
[410:1800:1] |
Generators of the group modulo torsion |
j |
13858588808/229635 |
j-invariant |
L |
5.8870890842992 |
L(r)(E,1)/r! |
Ω |
0.34135288343996 |
Real period |
R |
1.0778964704502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999872472 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800dz3 50400bm3 33600cz3 20160cc4 |
Quadratic twists by: -4 8 -3 5 |