Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
73696k |
Isogeny class |
Conductor |
73696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-158541910016 = -1 · 212 · 77 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 3 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2417,-50401] |
[a1,a2,a3,a4,a6] |
Generators |
[191:2548:1] |
Generators of the group modulo torsion |
j |
-3241792/329 |
j-invariant |
L |
6.0534233755842 |
L(r)(E,1)/r! |
Ω |
0.33849016860006 |
Real period |
R |
2.2354502201163 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000579 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73696o1 10528e1 |
Quadratic twists by: -4 -7 |