Atkin-Lehner |
2- 5- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
80960bx |
Isogeny class |
Conductor |
80960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-89816490311680 = -1 · 227 · 5 · 11 · 233 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11+ -2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11265,644095] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:964:1] |
Generators of the group modulo torsion |
j |
-603136942849/342622720 |
j-invariant |
L |
4.7880971099942 |
L(r)(E,1)/r! |
Ω |
0.56014528475125 |
Real period |
R |
4.2739778772785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80960be1 20240p1 |
Quadratic twists by: -4 8 |