Atkin-Lehner |
2+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
20440d |
Isogeny class |
Conductor |
20440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-40880 = -1 · 24 · 5 · 7 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[7:13:1] |
Generators of the group modulo torsion |
j |
-24918016/2555 |
j-invariant |
L |
4.4303602961582 |
L(r)(E,1)/r! |
Ω |
1.1993523651577 |
Real period |
R |
1.8469802640425 |
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 |
40880f1 102200p1 |
Quadratic twists by: -4 5 |