Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450t |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-153204475781250 = -1 · 2 · 314 · 58 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 2 -1 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4617,608791] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:854:1] |
Generators of the group modulo torsion |
j |
-38226865/538002 |
j-invariant |
L |
3.7570750303961 |
L(r)(E,1)/r! |
Ω |
0.48891889793984 |
Real period |
R |
3.8422272551003 |
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 |
6150ba1 18450bi1 |
Quadratic twists by: -3 5 |