Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800ck |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
38880 |
Modular degree for the optimal curve |
Δ |
-1075000000 = -1 · 26 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 -1 5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-333,-2713] |
[a1,a2,a3,a4,a6] |
Generators |
[61218:542825:729] |
Generators of the group modulo torsion |
j |
-163840/43 |
j-invariant |
L |
11.238863158365 |
L(r)(E,1)/r! |
Ω |
0.55109577822741 |
Real period |
R |
6.797888619308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ed1 1075f1 68800t1 |
Quadratic twists by: -4 8 5 |