Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cn |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-8396640000 = -1 · 28 · 32 · 54 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660,8100] |
[a1,a2,a3,a4,a6] |
Generators |
[0:-90:1] [-15:120:1] |
Generators of the group modulo torsion |
j |
-362642992/95625 |
j-invariant |
L |
10.110583271107 |
L(r)(E,1)/r! |
Ω |
1.2435082004911 |
Real period |
R |
0.50816830498351 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960dl1 |
Quadratic twists by: -7 |