Atkin-Lehner |
2+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640i |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-15680258720000000 = -1 · 211 · 57 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- -6 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-91483,-12236182] |
[a1,a2,a3,a4,a6] |
Generators |
[111747:7169212:27] |
Generators of the group modulo torsion |
j |
-351420193602/65078125 |
j-invariant |
L |
10.169805534481 |
L(r)(E,1)/r! |
Ω |
0.1358913797165 |
Real period |
R |
9.3547191470047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000499 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33320n1 9520c1 |
Quadratic twists by: -4 -7 |