Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800en |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
8.1030458862864E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28004700,37122514000] |
[a1,a2,a3,a4,a6] |
Generators |
[-1744:284004:1] |
Generators of the group modulo torsion |
j |
13015144447800784/4341909875625 |
j-invariant |
L |
8.0580733726663 |
L(r)(E,1)/r! |
Ω |
0.08233536954802 |
Real period |
R |
4.0778714931003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025039 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800lc2 12600s2 33600cs2 20160y2 |
Quadratic twists by: -4 8 -3 5 |