Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600t |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-4413867187500000000 = -1 · 28 · 36 · 517 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1620300,-800264500] |
[a1,a2,a3,a4,a6] |
j |
-161332732109824/1513671875 |
j-invariant |
L |
2.407299750845 |
L(r)(E,1)/r! |
Ω |
0.066869435861503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800r1 12400d1 22320m1 |
Quadratic twists by: -4 -3 5 |