Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cc |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-407138918400000 = -1 · 216 · 39 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 3 4 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-35681,2781825] |
[a1,a2,a3,a4,a6] |
j |
-76659680596324/6212446875 |
j-invariant |
L |
1.043143682943 |
L(r)(E,1)/r! |
Ω |
0.52157185321319 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960bd1 24240q1 |
Quadratic twists by: -4 8 |