Atkin-Lehner |
3- 7- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747y |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16080 |
Modular degree for the optimal curve |
Δ |
-4434507 = -1 · 36 · 7 · 11 · 79 |
Discriminant |
Eigenvalues |
-2 3- 0 7- 11- -6 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-270] |
[a1,a2,a3,a4,a6] |
Generators |
[15:44:1] |
Generators of the group modulo torsion |
j |
-64000000/6083 |
j-invariant |
L |
2.4202191100677 |
L(r)(E,1)/r! |
Ω |
0.80679717853082 |
Real period |
R |
2.9997862838401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000029 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6083f1 |
Quadratic twists by: -3 |