Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760cq |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-177628774400 = -1 · 223 · 52 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- 3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-37147,2755786] |
[a1,a2,a3,a4,a6] |
Generators |
[125:256:1] |
Generators of the group modulo torsion |
j |
-11437987859001/358400 |
j-invariant |
L |
4.1640783895514 |
L(r)(E,1)/r! |
Ω |
0.94568384534237 |
Real period |
R |
0.55040572098198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bd1 67760ce1 |
Quadratic twists by: -4 -11 |