Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200co |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-1715200 = -1 · 210 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -6 -4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,-43] |
[a1,a2,a3,a4,a6] |
Generators |
[53:384:1] |
Generators of the group modulo torsion |
j |
81920/67 |
j-invariant |
L |
9.7592465982389 |
L(r)(E,1)/r! |
Ω |
1.4708051713123 |
Real period |
R |
3.3176544418608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200i1 26800u1 107200dd1 |
Quadratic twists by: -4 8 5 |