Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450v |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-16734014208000 = -1 · 211 · 313 · 53 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 4 2 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18612,-992304] |
[a1,a2,a3,a4,a6] |
Generators |
[489:10083:1] |
Generators of the group modulo torsion |
j |
-7824893363477/183638016 |
j-invariant |
L |
4.107709247632 |
L(r)(E,1)/r! |
Ω |
0.20408804170756 |
Real period |
R |
2.5158929041503 |
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 |
6150bh1 18450bz1 |
Quadratic twists by: -3 5 |