Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450cb |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-358668000 = -1 · 25 · 37 · 53 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 -2 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,175,-223] |
[a1,a2,a3,a4,a6] |
Generators |
[9:40:1] |
Generators of the group modulo torsion |
j |
6539203/3936 |
j-invariant |
L |
7.241712118626 |
L(r)(E,1)/r! |
Ω |
0.98974702272093 |
Real period |
R |
0.18291825972655 |
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 |
6150r1 18450z1 |
Quadratic twists by: -3 5 |