Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
18960d |
Isogeny class |
Conductor |
18960 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-583409893250400000 = -1 · 28 · 3 · 55 · 796 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -2 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-654260,-206762400] |
[a1,a2,a3,a4,a6] |
Generators |
[16420:2101400:1] |
Generators of the group modulo torsion |
j |
-120986111455981208656/2278944895509375 |
j-invariant |
L |
4.3621629910953 |
L(r)(E,1)/r! |
Ω |
0.083839142541966 |
Real period |
R |
3.4686765305055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9480e1 75840cg1 56880l1 94800t1 |
Quadratic twists by: -4 8 -3 5 |