Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
60648v |
Isogeny class |
Conductor |
60648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
27315214875648 = 210 · 34 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-54992,-4938948] |
[a1,a2,a3,a4,a6] |
Generators |
[-3678:2060:27] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
6.4816876976433 |
L(r)(E,1)/r! |
Ω |
0.31179041080195 |
Real period |
R |
5.1971512538288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296bm4 168a3 |
Quadratic twists by: -4 -19 |