Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47775bn |
Isogeny class |
Conductor |
47775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-55943340329296875 = -1 · 3 · 58 · 710 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -6 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-200083,36345693] |
[a1,a2,a3,a4,a6] |
j |
-8028160/507 |
j-invariant |
L |
0.69552587222587 |
L(r)(E,1)/r! |
Ω |
0.3477629361701 |
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 |
47775cd1 47775cx1 |
Quadratic twists by: 5 -7 |