Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
18450n |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
116753906250000 = 24 · 36 · 512 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37692,-2758784] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:104:1] |
Generators of the group modulo torsion |
j |
519912412921/10250000 |
j-invariant |
L |
3.688302461497 |
L(r)(E,1)/r! |
Ω |
0.3430496465966 |
Real period |
R |
2.6878780506617 |
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 |
2050d1 3690r1 |
Quadratic twists by: -3 5 |