Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016ca |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
70750996267008 = 232 · 3 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 4 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19233,949953] |
[a1,a2,a3,a4,a6] |
Generators |
[11:860:1] |
Generators of the group modulo torsion |
j |
3001563015625/269893632 |
j-invariant |
L |
5.0180868616072 |
L(r)(E,1)/r! |
Ω |
0.59996591582323 |
Real period |
R |
4.1819766167441 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016s1 15504s1 |
Quadratic twists by: -4 8 |