Atkin-Lehner |
2- 31- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90334t |
Isogeny class |
Conductor |
90334 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
543449344 = 28 · 312 · 472 |
Discriminant |
Eigenvalues |
2- -1 1 5 -5 -1 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-330,1879] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:47:1] |
Generators of the group modulo torsion |
j |
4136417761/565504 |
j-invariant |
L |
10.315438380677 |
L(r)(E,1)/r! |
Ω |
1.5804411508226 |
Real period |
R |
0.40793350505738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90334l1 |
Quadratic twists by: -31 |