Atkin-Lehner |
2+ 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184n |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-4969872075312764928 = -1 · 211 · 32 · 72 · 11 · 298 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28784,107284320] |
[a1,a2,a3,a4,a6] |
Generators |
[801:24444:1] |
Generators of the group modulo torsion |
j |
-1287841114217954/2426695349273811 |
j-invariant |
L |
4.7583690508307 |
L(r)(E,1)/r! |
Ω |
0.19550523312422 |
Real period |
R |
6.0847080363545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963633 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53592z5 |
Quadratic twists by: -4 |