Atkin-Lehner |
2- 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
101866j |
Isogeny class |
Conductor |
101866 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
2083200 |
Modular degree for the optimal curve |
Δ |
-740609638143967232 = -1 · 214 · 318 · 53 |
Discriminant |
Eigenvalues |
2- 0 0 2 -2 2 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3286320,2294241683] |
[a1,a2,a3,a4,a6] |
Generators |
[721:16937:1] |
Generators of the group modulo torsion |
j |
-4602137468625/868352 |
j-invariant |
L |
9.9315068868307 |
L(r)(E,1)/r! |
Ω |
0.27631323369814 |
Real period |
R |
0.85578401604922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036568 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101866l1 |
Quadratic twists by: -31 |