Atkin-Lehner |
2- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53600o |
Isogeny class |
Conductor |
53600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-107200000000 = -1 · 212 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 0 5- -2 2 -2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1000,10000] |
[a1,a2,a3,a4,a6] |
Generators |
[0:100:1] [561:13309:1] |
Generators of the group modulo torsion |
j |
69120/67 |
j-invariant |
L |
9.2154101045836 |
L(r)(E,1)/r! |
Ω |
0.69500450227291 |
Real period |
R |
2.2099161646787 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53600m1 107200cx1 53600a1 |
Quadratic twists by: -4 8 5 |