Atkin-Lehner |
2- 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960bx |
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] |
Generators |
[1:8:1] [4:13:1] |
Generators of the group modulo torsion |
j |
702464/1515 |
j-invariant |
L |
8.8036787598253 |
L(r)(E,1)/r! |
Ω |
1.8568055273352 |
Real period |
R |
2.3706518077687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996831 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96960y1 24240o1 |
Quadratic twists by: -4 8 |