Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31584l |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-7647169940928 = -1 · 26 · 32 · 710 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5038,-193120] |
[a1,a2,a3,a4,a6] |
Generators |
[1457:55566:1] |
Generators of the group modulo torsion |
j |
-221006185336000/119487030327 |
j-invariant |
L |
7.4010438590465 |
L(r)(E,1)/r! |
Ω |
0.2763546239796 |
Real period |
R |
2.6780966254405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584a1 63168cj2 94752bi1 |
Quadratic twists by: -4 8 -3 |