Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296o |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
60960768 = 212 · 3 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-79377,-8634273] |
[a1,a2,a3,a4,a6] |
Generators |
[2755248908840975080:-140655384364395801831:1045060361792000] |
Generators of the group modulo torsion |
j |
13503715467035968/14883 |
j-invariant |
L |
8.815171912765 |
L(r)(E,1)/r! |
Ω |
0.28443001782537 |
Real period |
R |
30.992410646952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43296x4 86592w1 129888bf4 |
Quadratic twists by: -4 8 -3 |