Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
107200cs |
Isogeny class |
Conductor |
107200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10944 |
Modular degree for the optimal curve |
Δ |
-107200 = -1 · 26 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -6 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3,17] |
[a1,a2,a3,a4,a6] |
Generators |
[8:21:1] |
Generators of the group modulo torsion |
j |
-2560/67 |
j-invariant |
L |
6.2211060671395 |
L(r)(E,1)/r! |
Ω |
2.8002864699525 |
Real period |
R |
2.2215963049005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999884748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107200ce1 53600c1 107200dc1 |
Quadratic twists by: -4 8 5 |