Atkin-Lehner |
3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
81585be |
Isogeny class |
Conductor |
81585 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-4781075615111317095 = -1 · 322 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-952569,373224928] |
[a1,a2,a3,a4,a6] |
Generators |
[-12478590443970016:-167308086284353909:11877321834496] |
Generators of the group modulo torsion |
j |
-1114544804970241/55745503695 |
j-invariant |
L |
9.6614317105355 |
L(r)(E,1)/r! |
Ω |
0.24103763331749 |
Real period |
R |
20.041334577906 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27195f1 11655f1 |
Quadratic twists by: -3 -7 |