Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
61504y |
Isogeny class |
Conductor |
61504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
111790134059466752 = 217 · 318 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-124289,5025247] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:3844:1] [379:3536:1] |
Generators of the group modulo torsion |
j |
1825346/961 |
j-invariant |
L |
6.6714091487013 |
L(r)(E,1)/r! |
Ω |
0.29257668733243 |
Real period |
R |
5.7005645336266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61504by2 7688l2 1984d2 |
Quadratic twists by: -4 8 -31 |