Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600fs |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-210875788800000000 = -1 · 215 · 312 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 3 5 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82875,23926250] |
[a1,a2,a3,a4,a6] |
j |
-53969305/180792 |
j-invariant |
L |
4.4354844132126 |
L(r)(E,1)/r! |
Ω |
0.27721775670274 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950cx1 37200cc1 111600dq1 |
Quadratic twists by: -4 -3 5 |