Atkin-Lehner |
2- 3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9840k |
Isogeny class |
Conductor |
9840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-385551687352320 = -1 · 217 · 315 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 -6 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,-944784] |
[a1,a2,a3,a4,a6] |
j |
198257271191/94128829920 |
j-invariant |
L |
0.50051121163987 |
L(r)(E,1)/r! |
Ω |
0.25025560581994 |
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 |
1230b1 39360cv1 29520ce1 49200cu1 |
Quadratic twists by: -4 8 -3 5 |