Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18800d |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
3760000000 = 210 · 57 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 -3 -1 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,1312] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:50:1] [-3:50:1] |
Generators of the group modulo torsion |
j |
470596/235 |
j-invariant |
L |
5.9801320819811 |
L(r)(E,1)/r! |
Ω |
1.2385753350056 |
Real period |
R |
0.60352930429093 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9400a1 75200ct1 3760a1 |
Quadratic twists by: -4 8 5 |