Atkin-Lehner |
2+ 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150q |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-14030763120000 = -1 · 27 · 32 · 54 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11- 1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1575,-182475] |
[a1,a2,a3,a4,a6] |
Generators |
[105:855:1] |
Generators of the group modulo torsion |
j |
-390625/12672 |
j-invariant |
L |
3.5309788984344 |
L(r)(E,1)/r! |
Ω |
0.30676721628485 |
Real period |
R |
0.95919063679533 |
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 |
54450gy1 18150cs1 1650o1 |
Quadratic twists by: -3 5 -11 |