Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
31584x |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-251320494555974592 = -1 · 26 · 38 · 78 · 473 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 0 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-95046,26594712] |
[a1,a2,a3,a4,a6] |
Generators |
[273:4590:1] |
Generators of the group modulo torsion |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
9.0285055579749 |
L(r)(E,1)/r! |
Ω |
0.27507773278239 |
Real period |
R |
4.1027064725724 |
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 |
31584s1 63168ca1 94752m1 |
Quadratic twists by: -4 8 -3 |