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 |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
1207390587890625 = 310 · 59 · 192 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- -2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248742,47782791] |
[a1,a2,a3,a4,a6] |
Generators |
[-206:9603:1] |
Generators of the group modulo torsion |
j |
1195403416397/847989 |
j-invariant |
L |
4.7970982660048 |
L(r)(E,1)/r! |
Ω |
0.48174096678931 |
Real period |
R |
2.4894593298933 |
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 |
41325m1 123975bi1 |
Quadratic twists by: -3 5 |