Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960o |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-27205113600 = -1 · 28 · 36 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,740,1492] |
[a1,a2,a3,a4,a6] |
Generators |
[14:120:1] |
Generators of the group modulo torsion |
j |
509680208/309825 |
j-invariant |
L |
6.0885098688906 |
L(r)(E,1)/r! |
Ω |
0.72931251894638 |
Real period |
R |
2.0870716288673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002312 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960bm1 |
Quadratic twists by: -7 |