Atkin-Lehner |
3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
4653b |
Isogeny class |
Conductor |
4653 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-17713971 = -1 · 36 · 11 · 472 |
Discriminant |
Eigenvalues |
0 3- -3 -2 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-144,695] |
[a1,a2,a3,a4,a6] |
Generators |
[1:23:1] |
Generators of the group modulo torsion |
j |
-452984832/24299 |
j-invariant |
L |
2.1145232256477 |
L(r)(E,1)/r! |
Ω |
2.1586012125241 |
Real period |
R |
0.48979015053344 |
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 |
74448bp1 517b1 116325p1 51183h1 |
Quadratic twists by: -4 -3 5 -11 |