Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
18600l |
Isogeny class |
Conductor |
18600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-603267750000 = -1 · 24 · 34 · 56 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 -2 -4 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3508,87113] |
[a1,a2,a3,a4,a6] |
Generators |
[32:93:1] |
Generators of the group modulo torsion |
j |
-19102326016/2413071 |
j-invariant |
L |
6.4559610230562 |
L(r)(E,1)/r! |
Ω |
0.88859295128862 |
Real period |
R |
0.3027239587829 |
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 |
37200a1 55800ca1 744f1 |
Quadratic twists by: -4 -3 5 |