Atkin-Lehner |
3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47775bw |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2743330078125 = -1 · 32 · 510 · 74 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 0 13+ -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-638,-79983] |
[a1,a2,a3,a4,a6] |
j |
-1225/117 |
j-invariant |
L |
2.1428209753571 |
L(r)(E,1)/r! |
Ω |
0.35713682930394 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47775bb1 47775r1 |
Quadratic twists by: 5 -7 |