Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600bw |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3152560500000000 = 28 · 38 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42375,1993750] |
[a1,a2,a3,a4,a6] |
Generators |
[1569:61628:1] |
Generators of the group modulo torsion |
j |
23086352/8649 |
j-invariant |
L |
8.1793021116732 |
L(r)(E,1)/r! |
Ω |
0.40986616598771 |
Real period |
R |
4.9890078495149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55800cg2 37200z2 111600bx2 |
Quadratic twists by: -4 -3 5 |