Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450bh |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
172160640000000000 = 216 · 38 · 510 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1100255,-443485753] |
[a1,a2,a3,a4,a6] |
Generators |
[-611:930:1] |
Generators of the group modulo torsion |
j |
12931706531187361/15114240000 |
j-invariant |
L |
7.5912973186337 |
L(r)(E,1)/r! |
Ω |
0.14742010828992 |
Real period |
R |
1.6091973066575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6150n1 3690d1 |
Quadratic twists by: -3 5 |