Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cd |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
-1343462400 = -1 · 210 · 32 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,264,540] |
[a1,a2,a3,a4,a6] |
Generators |
[6:48:1] |
Generators of the group modulo torsion |
j |
5771588/3825 |
j-invariant |
L |
5.4536286535702 |
L(r)(E,1)/r! |
Ω |
0.95562439116501 |
Real period |
R |
1.4267186762388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999783494 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960dt1 |
Quadratic twists by: -7 |