Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960h |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-12891466350000 = -1 · 24 · 32 · 55 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5269,88656] |
[a1,a2,a3,a4,a6] |
Generators |
[35:561:1] |
Generators of the group modulo torsion |
j |
2947214723072/2349028125 |
j-invariant |
L |
5.8062635886359 |
L(r)(E,1)/r! |
Ω |
0.45698504607892 |
Real period |
R |
1.5881984620452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bn1 |
Quadratic twists by: -7 |