Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
96960cq |
Isogeny class |
Conductor |
96960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-8181000000 = -1 · 26 · 34 · 56 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,4662] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:70:1] |
Generators of the group modulo torsion |
j |
-23987543104/127828125 |
j-invariant |
L |
6.5903804541985 |
L(r)(E,1)/r! |
Ω |
1.1348581274708 |
Real period |
R |
1.9357428299384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96960dw1 48480t2 |
Quadratic twists by: -4 8 |