Atkin-Lehner |
2+ 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
18550c |
Isogeny class |
Conductor |
18550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
966240 |
Modular degree for the optimal curve |
Δ |
-3.112173568E+19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 6 7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-977200,-458976000] |
[a1,a2,a3,a4,a6] |
j |
-10567560383566225/3186865733632 |
j-invariant |
L |
3.6634331735829 |
L(r)(E,1)/r! |
Ω |
0.074763942318018 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18550v1 129850o1 |
Quadratic twists by: 5 -7 |