Atkin-Lehner |
3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123975bh |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1404463562736328125 = 38 · 59 · 194 · 292 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-299367,26975916] |
[a1,a2,a3,a4,a6] |
Generators |
[-1810:73827:8] |
Generators of the group modulo torsion |
j |
2083908933917/986399649 |
j-invariant |
L |
4.7970982660048 |
L(r)(E,1)/r! |
Ω |
0.24087048339465 |
Real period |
R |
4.9789186597866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000184576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41325m2 123975bi2 |
Quadratic twists by: -3 5 |