Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016cw |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
77824 |
Modular degree for the optimal curve |
Δ |
2036109312 = 212 · 34 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -6 -2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1785,28359] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-24:1] [-27:240:1] |
Generators of the group modulo torsion |
j |
153646158016/497097 |
j-invariant |
L |
9.1376210985528 |
L(r)(E,1)/r! |
Ω |
1.4776986216723 |
Real period |
R |
0.77296048095658 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016ck1 31008r1 |
Quadratic twists by: -4 8 |