Atkin-Lehner |
2- 3- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850ck |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
442 |
Product of Tamagawa factors cp |
deg |
509184 |
Modular degree for the optimal curve |
Δ |
47950052458291200 = 213 · 317 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-94763,3874737] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:3529:1] |
Generators of the group modulo torsion |
j |
3764440119677265625/1918002098331648 |
j-invariant |
L |
9.6926366490616 |
L(r)(E,1)/r! |
Ω |
0.31579872996293 |
Real period |
R |
0.069439931550772 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550bh1 38850y1 |
Quadratic twists by: -3 5 |