Atkin-Lehner |
2- 3+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
62016ck |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
16 |
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 |
[-25:4:1] [-24:9:1] |
Generators of the group modulo torsion |
j |
153646158016/497097 |
j-invariant |
L |
7.499187407325 |
L(r)(E,1)/r! |
Ω |
0.73460554938358 |
Real period |
R |
2.5521136525604 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62016cw1 31008v1 |
Quadratic twists by: -4 8 |