Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53600m |
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 |
[25:175:1] |
Generators of the group modulo torsion |
j |
69120/67 |
j-invariant |
L |
5.932963739337 |
L(r)(E,1)/r! |
Ω |
0.57688080637478 |
Real period |
R |
1.7140928922519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53600o1 107200df1 53600e1 |
Quadratic twists by: -4 8 5 |