Atkin-Lehner |
3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6003b |
Isogeny class |
Conductor |
6003 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2256396365891763 = -1 · 314 · 23 · 295 |
Discriminant |
Eigenvalues |
0 3- -4 -4 -4 -5 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,6198,-2277689] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3784:1] |
Generators of the group modulo torsion |
j |
36120262639616/3095193917547 |
j-invariant |
L |
1.5035932370125 |
L(r)(E,1)/r! |
Ω |
0.21938082800168 |
Real period |
R |
0.6853804184753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96048bu1 2001b1 |
Quadratic twists by: -4 -3 |