Atkin-Lehner |
3- 7- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747q |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-4434507 = -1 · 36 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
-1 3- 0 7- 11+ 3 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,40,-34] |
[a1,a2,a3,a4,a6] |
j |
9938375/6083 |
j-invariant |
L |
1.420212723974 |
L(r)(E,1)/r! |
Ω |
1.4202127246621 |
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 |
6083g1 |
Quadratic twists by: -3 |