Atkin-Lehner |
2+ 11+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
93808b |
Isogeny class |
Conductor |
93808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-2049986224 = -1 · 24 · 11 · 132 · 413 |
Discriminant |
Eigenvalues |
2+ 0 3 3 11+ 13+ 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,274,1303] |
[a1,a2,a3,a4,a6] |
Generators |
[1029:6994:27] |
Generators of the group modulo torsion |
j |
142185535488/128124139 |
j-invariant |
L |
9.2171575655295 |
L(r)(E,1)/r! |
Ω |
0.95979802690251 |
Real period |
R |
4.8016131014048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004529 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46904c1 |
Quadratic twists by: -4 |