Atkin-Lehner |
2+ 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650bk |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-165656137500000 = -1 · 25 · 36 · 58 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3924,612298] |
[a1,a2,a3,a4,a6] |
j |
17112354215/424079712 |
j-invariant |
L |
2.5826328632939 |
L(r)(E,1)/r! |
Ω |
0.43043881072739 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55650bu1 |
Quadratic twists by: 5 |