Atkin-Lehner |
5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
64715f |
Isogeny class |
Conductor |
64715 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-615675949622632675 = -1 · 52 · 72 · 439 |
Discriminant |
Eigenvalues |
0 2 5- 7+ 3 -1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-168875,-46189544] |
[a1,a2,a3,a4,a6] |
Generators |
[298760:3748559:512] |
Generators of the group modulo torsion |
j |
-84258095104/97396075 |
j-invariant |
L |
8.2336659226607 |
L(r)(E,1)/r! |
Ω |
0.11271467933206 |
Real period |
R |
9.1310931857503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995101 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1505a1 |
Quadratic twists by: -43 |