Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352bt |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4180422552770838528 = -1 · 220 · 38 · 73 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11+ -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-474060,159562352] |
[a1,a2,a3,a4,a6] |
Generators |
[-242:16128:1] |
Generators of the group modulo torsion |
j |
-61653281712625/21875235228 |
j-invariant |
L |
5.6233263755801 |
L(r)(E,1)/r! |
Ω |
0.23223452135547 |
Real period |
R |
2.0178332168831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352ds3 1386d3 14784r3 |
Quadratic twists by: -4 8 -3 |