Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64575y |
Isogeny class |
Conductor |
64575 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-500582373046875 = -1 · 36 · 511 · 73 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 0 -4 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,19800,93656] |
[a1,a2,a3,a4,a6] |
Generators |
[720:19687:1] |
Generators of the group modulo torsion |
j |
75365351424/43946875 |
j-invariant |
L |
4.9890856473882 |
L(r)(E,1)/r! |
Ω |
0.31602799380949 |
Real period |
R |
0.65778529974098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7175d1 12915c1 |
Quadratic twists by: -3 5 |