Atkin-Lehner |
3+ 7- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
19803c |
Isogeny class |
Conductor |
19803 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-20918324763 = -1 · 39 · 72 · 232 · 41 |
Discriminant |
Eigenvalues |
0 3+ 0 7- -1 4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-343,7491] |
[a1,a2,a3,a4,a6] |
Generators |
[3:80:1] |
Generators of the group modulo torsion |
j |
-4475809792000/20918324763 |
j-invariant |
L |
3.615128301236 |
L(r)(E,1)/r! |
Ω |
1.0530729625285 |
Real period |
R |
0.85823310204353 |
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 |
59409f1 |
Quadratic twists by: -3 |