Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200bf |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
-1.74076198912E+19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89633,200972863] |
[a1,a2,a3,a4,a6] |
j |
-19443408769/4249907200 |
j-invariant |
L |
0.71397652750088 |
L(r)(E,1)/r! |
Ω |
0.17849429740236 |
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 |
123200fs1 3850d1 24640x1 |
Quadratic twists by: -4 8 5 |