Atkin-Lehner |
2- 13+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67184n |
Isogeny class |
Conductor |
67184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-74850500608 = -1 · 220 · 13 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 2 0 2 6 13+ 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1368,-23056] |
[a1,a2,a3,a4,a6] |
Generators |
[10222441740:-104793385472:85766121] |
Generators of the group modulo torsion |
j |
-69173457625/18274048 |
j-invariant |
L |
11.114320805331 |
L(r)(E,1)/r! |
Ω |
0.38713707526892 |
Real period |
R |
14.354503243626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999824 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8398a1 |
Quadratic twists by: -4 |