Atkin-Lehner |
2+ 5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20440a |
Isogeny class |
Conductor |
20440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133728 |
Modular degree for the optimal curve |
Δ |
-6186543170694320 = -1 · 24 · 5 · 7 · 737 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 2 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36329,2674460] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:185:1] |
Generators of the group modulo torsion |
j |
331399695894849536/386658948168395 |
j-invariant |
L |
2.8638034238558 |
L(r)(E,1)/r! |
Ω |
0.28310362726046 |
Real period |
R |
5.0578713024066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40880e1 102200u1 |
Quadratic twists by: -4 5 |