Atkin-Lehner |
2- 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584s |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
96 |
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] |
j |
-1483712790216999616/3926882727437103 |
j-invariant |
L |
3.0320804341172 |
L(r)(E,1)/r! |
Ω |
0.12633668475482 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31584x1 63168dt1 94752r1 |
Quadratic twists by: -4 8 -3 |