Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3850v |
Isogeny class |
Conductor |
3850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-211750000 = -1 · 24 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363,-2783] |
[a1,a2,a3,a4,a6] |
j |
-338608873/13552 |
j-invariant |
L |
2.1823742364853 |
L(r)(E,1)/r! |
Ω |
0.54559355912133 |
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 |
30800bc1 123200bq1 34650ba1 154c1 |
Quadratic twists by: -4 8 -3 5 |