Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520a |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3755844000000 = 28 · 32 · 56 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3916,15616] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:176:1] [-47:306:1] |
Generators of the group modulo torsion |
j |
25949123563984/14671265625 |
j-invariant |
L |
8.6615456879238 |
L(r)(E,1)/r! |
Ω |
0.67735430696463 |
Real period |
R |
6.3936595655181 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999829 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38760f2 |
Quadratic twists by: -4 |