Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400db |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31912704000 = 211 · 38 · 53 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36435,2676850] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:1890:1] [50:990:1] |
Generators of the group modulo torsion |
j |
28662399178/171 |
j-invariant |
L |
9.3857118171074 |
L(r)(E,1)/r! |
Ω |
1.0414910605842 |
Real period |
R |
2.2529506426688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200bl2 22800bo2 68400cz2 |
Quadratic twists by: -4 -3 5 |