Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648v |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5311291781376 = 28 · 32 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4452,-26460] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:210:1] |
Generators of the group modulo torsion |
j |
810448/441 |
j-invariant |
L |
6.4816876976433 |
L(r)(E,1)/r! |
Ω |
0.6235808216039 |
Real period |
R |
2.5985756269144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998745 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121296bm2 168a2 |
Quadratic twists by: -4 -19 |