Atkin-Lehner |
2- 3- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
62016cs |
Isogeny class |
Conductor |
62016 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-138235221349761024 = -1 · 228 · 313 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -2 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-296161,-64661857] |
[a1,a2,a3,a4,a6] |
j |
-10958947844677561/527325520896 |
j-invariant |
L |
2.6530381795109 |
L(r)(E,1)/r! |
Ω |
0.10203992999536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62016n1 15504p1 |
Quadratic twists by: -4 8 |