Atkin-Lehner |
2- 5- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81700n |
Isogeny class |
Conductor |
81700 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-287020270000 = -1 · 24 · 54 · 192 · 433 |
Discriminant |
Eigenvalues |
2- -2 5- 2 -3 5 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,967,-22712] |
[a1,a2,a3,a4,a6] |
Generators |
[73:665:1] |
Generators of the group modulo torsion |
j |
9989734400/28702027 |
j-invariant |
L |
4.6148217509906 |
L(r)(E,1)/r! |
Ω |
0.50006708825895 |
Real period |
R |
1.5380675460959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999892953 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81700c1 |
Quadratic twists by: 5 |