Atkin-Lehner |
2+ 5- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46280b |
Isogeny class |
Conductor |
46280 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
643680 |
Modular degree for the optimal curve |
Δ |
-9912428115200000 = -1 · 211 · 55 · 133 · 893 |
Discriminant |
Eigenvalues |
2+ 0 5- -1 4 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4832227,4088550846] |
[a1,a2,a3,a4,a6] |
j |
-6093064039798084378482/4840052790625 |
j-invariant |
L |
1.6978888103079 |
L(r)(E,1)/r! |
Ω |
0.33957776206801 |
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 |
92560c1 |
Quadratic twists by: -4 |