Atkin-Lehner |
3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
54747j |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33024 |
Modular degree for the optimal curve |
Δ |
-3232755603 = -1 · 312 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
2 3- -2 7+ 11- 3 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-201,2947] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:239:8] |
Generators of the group modulo torsion |
j |
-1231925248/4434507 |
j-invariant |
L |
9.9570966313452 |
L(r)(E,1)/r! |
Ω |
1.2391990493445 |
Real period |
R |
2.008776684524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18249a1 |
Quadratic twists by: -3 |