Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008co |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
-60855861248 = -1 · 214 · 75 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -3 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,751,-8593] |
[a1,a2,a3,a4,a6] |
Generators |
[29:196:1] |
Generators of the group modulo torsion |
j |
2855256752/3714347 |
j-invariant |
L |
5.0163663645601 |
L(r)(E,1)/r! |
Ω |
0.59206096306955 |
Real period |
R |
0.8472719326922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008c1 24752l1 |
Quadratic twists by: -4 8 |