Atkin-Lehner |
3- 7+ 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
54747f |
Isogeny class |
Conductor |
54747 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
3951145737 = 310 · 7 · 112 · 79 |
Discriminant |
Eigenvalues |
-1 3- -2 7+ 11+ 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-401,-520] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:55:1] |
Generators of the group modulo torsion |
j |
9759185353/5419953 |
j-invariant |
L |
2.0157450230012 |
L(r)(E,1)/r! |
Ω |
1.1439639561939 |
Real period |
R |
0.88103519870455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18249m1 |
Quadratic twists by: -3 |