Atkin-Lehner |
3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
3885h |
Isogeny class |
Conductor |
3885 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
40666351318359375 = 3 · 516 · 74 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1429530,-657914475] |
[a1,a2,a3,a4,a6] |
j |
323075148552374741097121/40666351318359375 |
j-invariant |
L |
1.1045732000104 |
L(r)(E,1)/r! |
Ω |
0.1380716500013 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62160bx8 11655f7 19425f7 27195f8 |
Quadratic twists by: -4 -3 5 -7 |