Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148cl |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6600070971648 = -1 · 28 · 33 · 72 · 117 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5364,-197100] |
[a1,a2,a3,a4,a6] |
Generators |
[87:48:1] |
Generators of the group modulo torsion |
j |
-768208/297 |
j-invariant |
L |
6.8180556993168 |
L(r)(E,1)/r! |
Ω |
0.27368071257716 |
Real period |
R |
4.1520741663424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000308 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148e1 6468s1 |
Quadratic twists by: -7 -11 |