Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
34200bg |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
172665180900000000 = 28 · 314 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463575,119830250] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:4500:1] |
Generators of the group modulo torsion |
j |
3778298043856/59213025 |
j-invariant |
L |
4.5739218504066 |
L(r)(E,1)/r! |
Ω |
0.32213486337934 |
Real period |
R |
3.5496948408689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400br2 11400bb2 6840t2 |
Quadratic twists by: -4 -3 5 |