Atkin-Lehner |
2+ 3- 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bk |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-1130941440 = -1 · 210 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 3 -6 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2245,40235] |
[a1,a2,a3,a4,a6] |
Generators |
[23:36:1] |
Generators of the group modulo torsion |
j |
-1222548865024/1104435 |
j-invariant |
L |
10.938543215613 |
L(r)(E,1)/r! |
Ω |
1.5361941888437 |
Real period |
R |
0.50861051254249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960cp1 6060b1 |
Quadratic twists by: -4 8 |