Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960y |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-1551360 = -1 · 210 · 3 · 5 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -1 0 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19,-45] |
[a1,a2,a3,a4,a6] |
j |
702464/1515 |
j-invariant |
L |
2.7820401909169 |
L(r)(E,1)/r! |
Ω |
1.3910201665306 |
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 |
96960bx1 12120f1 |
Quadratic twists by: -4 8 |