Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
32850x |
Isogeny class |
Conductor |
32850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
119738250000 = 24 · 38 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1242,2916] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] |
Generators of the group modulo torsion |
j |
18609625/10512 |
j-invariant |
L |
4.5083878662325 |
L(r)(E,1)/r! |
Ω |
0.90299144349673 |
Real period |
R |
1.2481812254982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10950bd1 1314d1 |
Quadratic twists by: -3 5 |