Atkin-Lehner |
3- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
4653a |
Isogeny class |
Conductor |
4653 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12960 |
Modular degree for the optimal curve |
Δ |
-4734749594619 = -1 · 36 · 113 · 474 |
Discriminant |
Eigenvalues |
-2 3- 3 -2 11+ 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-471,104764] |
[a1,a2,a3,a4,a6] |
j |
-15851081728/6494855411 |
j-invariant |
L |
1.2520877749127 |
L(r)(E,1)/r! |
Ω |
0.62604388745636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74448bu1 517c1 116325y1 51183d1 |
Quadratic twists by: -4 -3 5 -11 |