Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3850n |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
9908251718750000 = 24 · 510 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11+ 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-54730,1175897] |
[a1,a2,a3,a4,a6] |
j |
1160306142246441/634128110000 |
j-invariant |
L |
2.8408627180542 |
L(r)(E,1)/r! |
Ω |
0.35510783975678 |
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 |
30800bq3 123200p3 34650w3 770e4 |
Quadratic twists by: -4 8 -3 5 |