Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bj |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
99983267343750 = 2 · 3 · 57 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-149251,22175648] |
[a1,a2,a3,a4,a6] |
Generators |
[336:2992:1] |
Generators of the group modulo torsion |
j |
23531588875176481/6398929110 |
j-invariant |
L |
5.8558557299895 |
L(r)(E,1)/r! |
Ω |
0.58442447888101 |
Real period |
R |
2.5049668270231 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116550ep4 7770r4 |
Quadratic twists by: -3 5 |